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57357278272 = 267373343243
BaseRepresentation
bin110101011010110000…
…101001110001000000
312111001022211122001201
4311122300221301000
51414431430401042
642203301310544
74100236551430
oct653260516100
9174038748051
1057357278272
1122363763118
12b148a05454
1355410a9918
142ac18d02c0
15175a7341b7
hexd5ac29c40

57357278272 has 56 divisors (see below), whose sum is σ = 130427228096. Its totient is φ = 24515716608.

The previous prime is 57357278257. The next prime is 57357278291. The reversal of 57357278272 is 27287275375.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4518 + ... + 338725.

Almost surely, 257357278272 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 57357278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65213614048).

57357278272 is an abundant number, since it is smaller than the sum of its proper divisors (73069949824).

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

57357278272 is a wasteful number, since it uses less digits than its factorization.

57357278272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343635 (or 343625 counting only the distinct ones).

The product of its digits is 11524800, while the sum is 55.

The spelling of 57357278272 in words is "fifty-seven billion, three hundred fifty-seven million, two hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 373 448 746 1492 2611 2984 5222 5968 10444 11936 20888 23872 41776 83552 167104 343243 686486 1372972 2402701 2745944 4805402 5491888 9610804 10983776 19221608 21967552 38443216 76886432 128029639 153772864 256059278 512118556 896207473 1024237112 1792414946 2048474224 3584829892 4096948448 7169659784 8193896896 14339319568 28678639136 57357278272