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57678866180 = 225132923093313
BaseRepresentation
bin110101101101111011…
…011010011100000100
312111212201221222201222
4311231323122130010
51421111242204210
642255230135512
74111223162465
oct655573323404
9174781858658
1057678866180
1122509241951
12b218651598
1355928c5820
142b124c2d6c
151778aa9655
hexd6deda704

57678866180 has 96 divisors (see below), whose sum is σ = 135040197600. Its totient is φ = 20547330048.

The previous prime is 57678866173. The next prime is 57678866207. The reversal of 57678866180 is 8166887675.

It can be written as a sum of positive squares in 16 ways, for example, as 2516828224 + 55162037956 = 50168^2 + 234866^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17408204 + ... + 17411516.

It is an arithmetic number, because the mean of its divisors is an integer number (1406668725).

Almost surely, 257678866180 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 57678866180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67520098800).

57678866180 is an abundant number, since it is smaller than the sum of its proper divisors (77361331420).

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

57678866180 is a wasteful number, since it uses less digits than its factorization.

57678866180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5673 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 62.

The spelling of 57678866180 in words is "fifty-seven billion, six hundred seventy-eight million, eight hundred sixty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 2309 3313 3770 4618 6626 7540 9236 11545 13252 16565 23090 30017 33130 43069 46180 60034 66260 66961 86138 96077 120068 133922 150085 172276 192154 215345 267844 300170 334805 384308 430690 480385 600340 669610 861380 870493 960770 1249001 1339220 1740986 1921540 2498002 3481972 4352465 4996004 6245005 7649717 8704930 12490010 15299434 17409860 24980020 30598868 38248585 76497170 99446321 152994340 198892642 221841793 397785284 443683586 497231605 887367172 994463210 1109208965 1988926420 2218417930 2883943309 4436835860 5767886618 11535773236 14419716545 28839433090 57678866180