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52753824468 = 223268310312081
BaseRepresentation
bin110001001000010111…
…110111101011010100
312001011111121221121200
4301020113313223110
51331014434340333
640122413312500
73545201052342
oct611027675324
9161144557550
1052753824468
1120411182144
12a283195730
134c89450567
1427a6374992
15158b50cc13
hexc485f7ad4

52753824468 has 72 divisors (see below), whose sum is σ = 133738952256. Its totient is φ = 17533401600.

The previous prime is 52753824421. The next prime is 52753824481. The reversal of 52753824468 is 86442835725.

52753824468 is a `hidden beast` number, since 5 + 2 + 7 + 538 + 2 + 44 + 68 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 25349188 + ... + 25351268.

It is an arithmetic number, because the mean of its divisors is an integer number (1857485448).

Almost surely, 252753824468 is an apocalyptic number.

It is an amenable number.

52753824468 is an abundant number, since it is smaller than the sum of its proper divisors (80985127788).

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

52753824468 is a wasteful number, since it uses less digits than its factorization.

52753824468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3800 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 52753824468 in words is "fifty-two billion, seven hundred fifty-three million, eight hundred twenty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 683 1031 1366 2049 2062 2081 2732 3093 4098 4124 4162 6147 6186 6243 8196 8324 9279 12294 12372 12486 18558 18729 24588 24972 37116 37458 74916 704173 1408346 1421323 2112519 2145511 2816692 2842646 4225038 4263969 4291022 5685292 6337557 6436533 8450076 8527938 8582044 12675114 12791907 12873066 17055876 19309599 25350228 25583814 25746132 38619198 51167628 77238396 1465384013 2930768026 4396152039 5861536052 8792304078 13188456117 17584608156 26376912234 52753824468