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51157632700 = 22522322933347
BaseRepresentation
bin101111101001001110…
…111000011010111100
311220001021010000011001
4233221032320122330
51314232323221300
635300153340044
73460506463126
oct575116703274
9156037100131
1051157632700
111a772171699
129ab8707624
134a9384bca5
142694392216
1514e631216a
hexbe93b86bc

51157632700 has 108 divisors (see below), whose sum is σ = 120053800440. Its totient is φ = 18897845120.

The previous prime is 51157632689. The next prime is 51157632731. The reversal of 51157632700 is 723675115.

It is a super-3 number, since 3×511576327003 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51157632700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1517427 + ... + 1550773.

Almost surely, 251157632700 is an apocalyptic number.

51157632700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51157632700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60026900220).

51157632700 is an abundant number, since it is smaller than the sum of its proper divisors (68896167740).

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

51157632700 is a wasteful number, since it uses less digits than its factorization.

51157632700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33436 (or 33406 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The spelling of 51157632700 in words is "fifty-one billion, one hundred fifty-seven million, six hundred thirty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 92 100 115 116 145 230 290 460 529 575 580 667 725 1058 1150 1334 1450 2116 2300 2645 2668 2900 3335 5290 6670 10580 13225 13340 15341 16675 26450 30682 33347 33350 52900 61364 66694 66700 76705 133388 153410 166735 306820 333470 383525 666940 766981 767050 833675 967063 1533962 1534100 1667350 1934126 3067924 3334700 3834905 3868252 4835315 7669810 9670630 15339620 17640563 19174525 19341260 22242449 24176575 35281126 38349050 44484898 48353150 70562252 76698100 88202815 88969796 96706300 111212245 176405630 222424490 352811260 441014075 444848980 511576327 556061225 882028150 1023152654 1112122450 1764056300 2046305308 2224244900 2557881635 5115763270 10231526540 12789408175 25578816350 51157632700