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57587770020 = 223511211413527
BaseRepresentation
bin110101101000011111…
…111010001010100100
312111122101112211022010
4311220133322022210
51420414432120040
642242213434220
74106035653144
oct655037721244
9174571484263
1057587770020
1122471881a70
12b1b203b970
135579a7b981
142b0436c924
151770ab2e80
hexd687fa2a4

57587770020 has 96 divisors (see below), whose sum is σ = 176738558976. Its totient is φ = 13894473600.

The previous prime is 57587770003. The next prime is 57587770033. The reversal of 57587770020 is 2007778575.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67504 + ... + 346023.

It is an arithmetic number, because the mean of its divisors is an integer number (1841026656).

Almost surely, 257587770020 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 57587770020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88369279488).

57587770020 is an abundant number, since it is smaller than the sum of its proper divisors (119150788956).

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

57587770020 is a wasteful number, since it uses less digits than its factorization.

57587770020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413761 (or 413759 counting only the distinct ones).

The product of its (nonzero) digits is 960400, while the sum is 48.

The spelling of 57587770020 in words is "fifty-seven billion, five hundred eighty-seven million, seven hundred seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 211 220 330 422 633 660 844 1055 1266 2110 2321 2532 3165 4220 4642 6330 6963 9284 11605 12660 13926 23210 27852 34815 46420 69630 139260 413527 827054 1240581 1654108 2067635 2481162 4135270 4548797 4962324 6202905 8270540 9097594 12405810 13646391 18195188 22743985 24811620 27292782 45487970 54585564 68231955 87254197 90975940 136463910 174508394 261762591 272927820 349016788 436270985 523525182 872541970 959796167 1047050364 1308812955 1745083940 1919592334 2617625910 2879388501 3839184668 4798980835 5235251820 5758777002 9597961670 11517554004 14396942505 19195923340 28793885010 57587770020