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57128471680 = 275770118191
BaseRepresentation
bin110101001101000111…
…110100110010000000
312110110101022001102111
4311031013310302000
51413444342043210
642124445225104
74061460666010
oct651507646200
9173411261374
1057128471680
1122256595365
12b0a4262194
1355058778c7
142a9d36dc40
1517455d988a
hexd4d1f4c80

57128471680 has 128 divisors (see below), whose sum is σ = 156314396160. Its totient is φ = 19557888000.

The previous prime is 57128471677. The next prime is 57128471681. The reversal of 57128471680 is 8617482175.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (57128471681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3131385 + ... + 3149575.

It is an arithmetic number, because the mean of its divisors is an integer number (1221206220).

Almost surely, 257128471680 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 57128471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78157198080).

57128471680 is an abundant number, since it is smaller than the sum of its proper divisors (99185924480).

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

57128471680 is a wasteful number, since it uses less digits than its factorization.

57128471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18918 (or 18906 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 49.

The spelling of 57128471680 in words is "fifty-seven billion, one hundred twenty-eight million, four hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 701 896 1120 1402 2240 2804 3505 4480 4907 5608 7010 9814 11216 14020 18191 19628 22432 24535 28040 36382 39256 44864 49070 56080 72764 78512 89728 90955 98140 112160 127337 145528 157024 181910 196280 224320 254674 291056 314048 363820 392560 448640 509348 582112 628096 636685 727640 785120 1018696 1164224 1273370 1455280 1570240 2037392 2328448 2546740 2910560 3140480 4074784 5093480 5821120 8149568 10186960 11642240 12751891 16299136 20373920 25503782 40747840 51007564 63759455 81495680 89263237 102015128 127518910 178526474 204030256 255037820 357052948 408060512 446316185 510075640 714105896 816121024 892632370 1020151280 1428211792 1632242048 1785264740 2040302560 2856423584 3570529480 4080605120 5712847168 7141058960 8161210240 11425694336 14282117920 28564235840 57128471680