Search a number
-
+
57156620670 = 232517922915493
BaseRepresentation
bin110101001110110011…
…001101000101111110
312110112100021011120200
4311032303031011332
51414024043330140
642131332424330
74062252155022
oct651663150576
9173470234520
1057156620670
1122270471096
12b0b17780a6
13550b652206
142aa2dba382
151747cea030
hexd4eccd17e

57156620670 has 96 divisors (see below), whose sum is σ = 150099674400. Its totient is φ = 15089455872.

The previous prime is 57156620663. The next prime is 57156620687. The reversal of 57156620670 is 7602665175.

57156620670 is a `hidden beast` number, since 5 + 7 + 1 + 566 + 20 + 67 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3681444 + ... + 3696936.

It is an arithmetic number, because the mean of its divisors is an integer number (1563538275).

Almost surely, 257156620670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57156620670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75049837200).

57156620670 is an abundant number, since it is smaller than the sum of its proper divisors (92943053730).

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

57156620670 is a wasteful number, since it uses less digits than its factorization.

57156620670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15914 (or 15911 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 57156620670 in words is "fifty-seven billion, one hundred fifty-six million, six hundred twenty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 229 358 458 537 687 895 1074 1145 1374 1611 1790 2061 2290 2685 3222 3435 4122 5370 6870 8055 10305 15493 16110 20610 30986 40991 46479 77465 81982 92958 122973 139437 154930 204955 232395 245946 278874 368919 409910 464790 614865 697185 737838 1229730 1394370 1844595 2773247 3547897 3689190 5546494 7095794 8319741 10643691 13866235 16639482 17739485 21287382 24959223 27732470 31931073 35478970 41598705 49918446 53218455 63862146 83197410 106436910 124796115 159655365 249592230 319310730 635073563 1270147126 1905220689 3175367815 3810441378 5715662067 6350735630 9526103445 11431324134 19052206890 28578310335 57156620670