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21670601640 = 23354313132059
BaseRepresentation
bin10100001011101010…
…110010001110101000
32001221021001121212120
4110023222302032220
5323340133223030
613542204111240
71365006034422
oct241352621650
961837047776
1021670601640
119210542836
124249535520
13207483000c
141098117812
1586c764010
hex50bab23a8

21670601640 has 128 divisors (see below), whose sum is σ = 67033612800. Its totient is φ = 5601173760.

The previous prime is 21670601629. The next prime is 21670601671. The reversal of 21670601640 is 4610607612.

It is a super-2 number, since 2×216706016402 (a number of 21 digits) contains 22 as substring.

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, 659931 + ... + 691989.

It is an arithmetic number, because the mean of its divisors is an integer number (523700100).

Almost surely, 221670601640 is an apocalyptic number.

21670601640 is a gapful number since it is divisible by the number (20) 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 21670601640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33516806400).

21670601640 is an abundant number, since it is smaller than the sum of its proper divisors (45363011160).

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

21670601640 is a wasteful number, since it uses less digits than its factorization.

21670601640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32247 (or 32243 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 21670601640 in words is "twenty-one billion, six hundred seventy million, six hundred one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 131 172 215 258 262 344 393 430 516 524 645 655 786 860 1032 1048 1290 1310 1572 1720 1965 2580 2620 3144 3930 5160 5240 5633 7860 11266 15720 16899 22532 28165 32059 33798 45064 56330 64118 67596 84495 96177 112660 128236 135192 160295 168990 192354 225320 256472 320590 337980 384708 480885 641180 675960 769416 961770 1282360 1378537 1923540 2757074 3847080 4135611 4199729 5514148 6892685 8271222 8399458 11028296 12599187 13785370 16542444 16798916 20678055 20998645 25198374 27570740 33084888 33597832 41356110 41997290 50396748 55141480 62995935 82712220 83994580 100793496 125991870 165424440 167989160 180588347 251983740 361176694 503967480 541765041 722353388 902941735 1083530082 1444706776 1805883470 2167060164 2708825205 3611766940 4334120328 5417650410 7223533880 10835300820 21670601640