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57125154064 = 241119379599
BaseRepresentation
bin110101001100111011…
…001010110100010000
312110110011001111111211
4311030323022310100
51413443014412224
642124250145504
74061420540446
oct651473126420
9173404044454
1057125154064
1122254729830
12b0a3122294
135504c85814
142a9cb48b96
151745181894
hexd4cecad10

57125154064 has 160 divisors (see below), whose sum is σ = 129277440000. Its totient is φ = 24247416960.

The previous prime is 57125154049. The next prime is 57125154089. The reversal of 57125154064 is 46045152175.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95367237 + ... + 95367835.

It is an arithmetic number, because the mean of its divisors is an integer number (807984000).

Almost surely, 257125154064 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 57125154064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64638720000).

57125154064 is an abundant number, since it is smaller than the sum of its proper divisors (72152285936).

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

57125154064 is a wasteful number, since it uses less digits than its factorization.

57125154064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 57125154064 in words is "fifty-seven billion, one hundred twenty-five million, one hundred fifty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 79 88 152 158 176 209 304 316 361 418 599 632 722 836 869 1198 1264 1444 1501 1672 1738 2396 2888 3002 3344 3476 3971 4792 5776 6004 6589 6859 6952 7942 9584 11381 12008 13178 13718 13904 15884 16511 22762 24016 26356 27436 28519 31768 33022 45524 47321 52712 54872 57038 63536 66044 75449 91048 94642 105424 109744 114076 125191 132088 150898 182096 189284 216239 228152 250382 264176 301796 313709 378568 432478 456304 500764 520531 541861 603592 627418 757136 864956 899099 1001528 1041062 1083722 1207184 1254836 1729912 1798198 2003056 2082124 2167444 2378629 2509672 3459824 3596396 4108541 4164248 4334888 4757258 5019344 5960471 7192792 8217082 8328496 8669776 9514516 9890089 11920942 14385584 16434164 17082881 19029032 19780178 23841884 32868328 34165762 38058064 39560356 45193951 47683768 65736656 68331524 79120712 90387902 95367536 136663048 158241424 180775804 187911691 273326096 324574739 361551608 375823382 649149478 723103216 751646764 1298298956 1503293528 2596597912 3006587056 3570322129 5193195824 7140644258 14281288516 28562577032 57125154064