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52865000541 = 3336744312043
BaseRepresentation
bin110001001110111111…
…111110010001011101
312001110020211021112000
4301032333332101131
51331231420004131
640141424232513
73551021043003
oct611677762135
9161406737460
1052865000541
1120468a073a1
12a2b446b739
134ca64a8012
1427b7034a73
15159616dce6
hexc4effe45d

52865000541 has 32 divisors (see below), whose sum is σ = 78715729920. Its totient is φ = 35065051632.

The previous prime is 52865000473. The next prime is 52865000557. The reversal of 52865000541 is 14500056825.

52865000541 is a `hidden beast` number, since 52 + 8 + 65 + 0 + 0 + 0 + 541 = 666.

52865000541 is a nontrivial binomial coefficient, being equal to C(325162, 2).

It is not a de Polignac number, because 52865000541 - 27 = 52865000413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52865000496 and 52865000505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52865040541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4383666 + ... + 4395708.

It is an arithmetic number, because the mean of its divisors is an integer number (2459866560).

Almost surely, 252865000541 is an apocalyptic number.

52865000541 is the 325161-st triangular number and also the 162581-st hexagonal number.

It is an amenable number.

52865000541 is a deficient number, since it is larger than the sum of its proper divisors (25850729379).

52865000541 is a wasteful number, since it uses less digits than its factorization.

52865000541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12862 (or 12856 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 52865000541 in words is "fifty-two billion, eight hundred sixty-five million, five hundred forty-one", and thus it is an aban number.

Divisors: 1 3 9 27 367 443 1101 1329 3303 3987 9909 11961 12043 36129 108387 162581 325161 487743 1463229 4389687 4419781 5335049 13259343 16005147 39778029 48015441 119334087 144046323 1957962983 5873888949 17621666847 52865000541