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61114740352 = 2723731991429
BaseRepresentation
bin111000111010101110…
…001110111010000000
312211202012011111000221
4320322232032322000
52000130333142402
644024204552424
74262323502401
oct707256167200
9184665144027
1061114740352
1123a1174aa86
12ba17252714
1359bc69c273
142d5a94b9a8
1518ca54b337
hexe3ab8ee80

61114740352 has 128 divisors (see below), whose sum is σ = 129523680000. Its totient is φ = 28663455744.

The previous prime is 61114740341. The next prime is 61114740353. The reversal of 61114740352 is 25304741116.

61114740352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×611147403522 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61114740353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42766774 + ... + 42768202.

It is an arithmetic number, because the mean of its divisors is an integer number (1011903750).

Almost surely, 261114740352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61114740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64761840000).

61114740352 is an abundant number, since it is smaller than the sum of its proper divisors (68408939648).

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

61114740352 is a wasteful number, since it uses less digits than its factorization.

61114740352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 61114740352 in words is "sixty-one billion, one hundred fourteen million, seven hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 128 146 184 199 292 368 398 584 736 796 1168 1429 1472 1592 1679 2336 2858 2944 3184 3358 4577 4672 5716 6368 6716 9154 9344 11432 12736 13432 14527 18308 22864 25472 26864 29054 32867 36616 45728 53728 58108 65734 73232 91456 104317 107456 116216 131468 146464 182912 208634 214912 232432 262936 284371 292928 334121 417268 464864 525872 568742 585856 668242 834536 929728 1051744 1137484 1336484 1669072 1859456 2103488 2274968 2399291 2672968 3338144 4206976 4549936 4798582 5345936 6540533 6676288 9099872 9597164 10691872 13081066 13352576 18199744 19194328 20759083 21383744 26162132 36399488 38388656 41518166 42767488 52324264 76777312 83036332 104648528 153554624 166072664 209297056 307109248 332145328 418594112 477458909 664290656 837188224 954917818 1328581312 1909835636 2657162624 3819671272 7639342544 15278685088 30557370176 61114740352