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672257920416 = 253191154923669
BaseRepresentation
bin10011100100001011011…
…00011100110110100000
32101021012210212201212220
421302011230130312200
542003241011423131
61232455300151040
766366115020015
oct11620554346640
92337183781786
10672257920416
1123a1150856a5
12aa355998480
134b516b05a34
1424774ad370c
15127487dbe96
hex9c85b1cda0

672257920416 has 96 divisors (see below), whose sum is σ = 1775136384000. Its totient is φ = 222759429120.

The previous prime is 672257920393. The next prime is 672257920441. The reversal of 672257920416 is 614029752276.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6722579204162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28390630 + ... + 28414298.

It is an arithmetic number, because the mean of its divisors is an integer number (18491004000).

Almost surely, 2672257920416 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 672257920416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887568192000).

672257920416 is an abundant number, since it is smaller than the sum of its proper divisors (1102878463584).

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

672257920416 is a wasteful number, since it uses less digits than its factorization.

672257920416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25422 (or 25414 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 672257920416 in words is "six hundred seventy-two billion, two hundred fifty-seven million, nine hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1146 1528 1549 2292 3056 3098 4584 4647 6112 6196 9168 9294 12392 18336 18588 23669 24784 37176 47338 49568 71007 74352 94676 142014 148704 189352 284028 295859 378704 568056 591718 757408 887577 1136112 1183436 1775154 2272224 2366872 3550308 4520779 4733744 7100616 9041558 9467488 13562337 14201232 18083116 27124674 28402464 36166232 36663281 54249348 72332464 73326562 108498696 109989843 144664928 146653124 216997392 219979686 293306248 433994784 439959372 586612496 879918744 1173224992 1759837488 3519674976 7002686671 14005373342 21008060013 28010746684 42016120026 56021493368 84032240052 112042986736 168064480104 224085973472 336128960208 672257920416