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27058536672 = 253563683733
BaseRepresentation
bin11001001100110100…
…001000000011100000
32120211202102002020220
4121030310020003200
5420403441133142
620232554203040
71645351524006
oct311464100340
976752362226
1027058536672
1110525925102
1252b1a23480
132722b6775b
14144991ca76
15a857992ec
hex64cd080e0

27058536672 has 96 divisors (see below), whose sum is σ = 71356215168. Its totient is φ = 8978044416.

The previous prime is 27058536667. The next prime is 27058536697. The reversal of 27058536672 is 27663585072.

It is a happy number.

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

It is a congruent number.

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, 36914418 + ... + 36915150.

It is an arithmetic number, because the mean of its divisors is an integer number (743293908).

Almost surely, 227058536672 is an apocalyptic number.

It is an amenable number.

27058536672 is an abundant number, since it is smaller than the sum of its proper divisors (44297678496).

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

27058536672 is a wasteful number, since it uses less digits than its factorization.

27058536672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 27058536672 in words is "twenty-seven billion, fifty-eight million, five hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 563 683 733 1126 1366 1466 1689 2049 2199 2252 2732 2932 3378 4098 4398 4504 5464 5864 6756 8196 8796 9008 10928 11728 13512 16392 17592 18016 21856 23456 27024 32784 35184 54048 65568 70368 384529 412679 500639 769058 825358 1001278 1153587 1238037 1501917 1538116 1650716 2002556 2307174 2476074 3003834 3076232 3301432 4005112 4614348 4952148 6007668 6152464 6602864 8010224 9228696 9904296 12015336 12304928 13205728 16020448 18457392 19808592 24030672 36914784 39617184 48061344 281859757 563719514 845579271 1127439028 1691158542 2254878056 3382317084 4509756112 6764634168 9019512224 13529268336 27058536672