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57788356352 = 28437173939
BaseRepresentation
bin110101110100011101…
…000101011100000000
312112011100222200000112
4311310131011130000
51421322304400402
642314141010452
74114022632016
oct656435053400
9175140880015
1057788356352
11225650254a1
12b249253a28
1355ac4acacc
142b22c648b6
1517834d5e52
hexd74745700

57788356352 has 72 divisors (see below), whose sum is σ = 119697621120. Its totient is φ = 27824348160.

The previous prime is 57788356319. The next prime is 57788356393. The reversal of 57788356352 is 25365388775.

It is a junction number, because it is equal to n+sod(n) for n = 57788356291 and 57788356300.

It is a congruent number.

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, 744599 + ... + 818537.

It is an arithmetic number, because the mean of its divisors is an integer number (1662466960).

Almost surely, 257788356352 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 57788356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59848810560).

57788356352 is an abundant number, since it is smaller than the sum of its proper divisors (61909264768).

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

57788356352 is an equidigital number, since it uses as much as digits as its factorization.

57788356352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74069 (or 74055 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 59.

The spelling of 57788356352 in words is "fifty-seven billion, seven hundred eighty-eight million, three hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 64 71 86 128 142 172 256 284 344 568 688 1136 1376 2272 2752 3053 4544 5504 6106 9088 11008 12212 18176 24424 48848 73939 97696 147878 195392 295756 390784 591512 781568 1183024 2366048 3179377 4732096 5249669 6358754 9464192 10499338 12717508 18928384 20998676 25435016 41997352 50870032 83994704 101740064 167989408 203480128 225735767 335978816 406960256 451471534 671957632 813920512 902943068 1343915264 1805886136 3611772272 7223544544 14447089088 28894178176 57788356352