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200614613321616 = 24313919491971119
BaseRepresentation
bin101101100111010100111010…
…110000111000011110010000
3222022022120101100000202201120
4231213110322300320132100
5202243332212002242431
61550401025302002240
760153633064332654
oct5547247260703620
9868276340022646
10200614613321616
1158a161a823174a
121a600558116380
1387c2b52609550
143777b289d4a64
15182d6a6ce0196
hexb6753ac38790

200614613321616 has 160 divisors (see below), whose sum is σ = 558848898048000. Its totient is φ = 61647003154944.

The previous prime is 200614613321527. The next prime is 200614613321653. The reversal of 200614613321616 is 616123316416002.

It is a happy number.

200614613321616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2820794505 + ... + 2820865623.

It is an arithmetic number, because the mean of its divisors is an integer number (3492805612800).

Almost surely, 2200614613321616 is an apocalyptic number.

200614613321616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200614613321616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279424449024000).

200614613321616 is an abundant number, since it is smaller than the sum of its proper divisors (358234284726384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200614613321616 is a wasteful number, since it uses less digits than its factorization.

200614613321616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76981 (or 76975 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

Adding to 200614613321616 its reverse (616123316416002), we get a palindrome (816737929737618).

The spelling of 200614613321616 in words is "two hundred trillion, six hundred fourteen billion, six hundred thirteen million, three hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 919 1838 2757 3676 4919 5514 7352 9838 11028 11947 14704 14757 19676 22056 23894 29514 35841 39352 44112 47788 59028 63947 71119 71682 78704 95576 118056 127894 142238 143364 191152 191841 213357 236112 255788 284476 286728 383682 426714 511576 568952 573456 767364 853428 924547 1023152 1137904 1534728 1706856 1849094 2773641 3069456 3413712 3698188 4520561 5547282 7396376 9041122 11094564 13561683 14792752 18082244 22189128 27123366 36164488 44378256 54246732 58767293 65358361 72328976 108493464 117534586 130716722 176301879 196075083 216986928 235069172 261433444 349834361 352603758 392150166 470138344 522866888 699668722 705207516 784300332 849658693 940276688 1045733776 1049503083 1399337444 1410415032 1568600664 1699317386 2099006166 2548976079 2798674888 2820830064 3137201328 3398634772 4198012332 4547846693 5097952158 5597349776 6797269544 8396024664 9095693386 10195904316 13594539088 13643540079 16792049328 18191386772 20391808632 27287080158 36382773544 40783617264 54574160316 72765547088 109148320632 218296641264 321497777759 642995555518 964493333277 1285991111036 1928986666554 2571982222072 3857973333108 4179471110867 5143964444144 7715946666216 8358942221734 12538413332601 15431893332432 16717884443468 25076826665202 33435768886936 50153653330404 66871537773872 100307306660808 200614613321616