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51033520836 = 223223216372
BaseRepresentation
bin101111100001110101…
…011011101011000100
311212201121120110200100
4233201311123223010
51314004040131321
635240001244100
73454441525014
oct574165335304
9155647513610
1051033520836
111a709101601
129a83033630
134a73c1560c
142681ac5c44
1514da498326
hexbe1d5bac4

51033520836 has 81 divisors (see below), whose sum is σ = 134936444461. Its totient is φ = 16261617504.

The previous prime is 51033520831. The next prime is 51033520841. The reversal of 51033520836 is 63802533015.

The square root of 51033520836 is 225906.

It is a perfect power (a square), and thus also a powerful number.

51033520836 is a `hidden beast` number, since 51 + 0 + 3 + 3 + 520 + 83 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (51033520831) and next prime (51033520841).

It can be written as a sum of positive squares in only one way, i.e., 1546848900 + 49486671936 = 39330^2 + 222456^2 .

It is a super-2 number, since 2×510335208362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51033520836.

It is not an unprimeable number, because it can be changed into a prime (51033520831) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31174210 + ... + 31175846.

Almost surely, 251033520836 is an apocalyptic number.

51033520836 is the 225906-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51033520836

51033520836 is an abundant number, since it is smaller than the sum of its proper divisors (83902923625).

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

51033520836 is a wasteful number, since it uses less digits than its factorization.

51033520836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 51033520836 by its sum of digits (36), we get a square (1837206750096 = 13554362).

51033520836 divided by its sum of digits (36) gives a square (1417597801 = 376512).

The spelling of 51033520836 in words is "fifty-one billion, thirty-three million, five hundred twenty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 1637 2116 3174 3274 4761 4911 6348 6548 9522 9822 14733 19044 19644 29466 37651 58932 75302 112953 150604 225906 338859 451812 677718 865973 1355436 1731946 2597919 2679769 3463892 5195838 5359538 7793757 8039307 10391676 10719076 15587514 16078614 24117921 31175028 32157228 48235842 61634687 96471684 123269374 184904061 246538748 369808122 554712183 739616244 1109424366 1417597801 2218848732 2835195602 4252793403 5670391204 8505586806 12758380209 17011173612 25516760418 51033520836