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53864375569 = 2925321512
BaseRepresentation
bin110010001010100100…
…010010010100010001
312011000220022210022221
4302022210102110101
51340303240004234
640424524301041
73614544431554
oct621244222421
9164026283287
1053864375569
1120931043674
12a5330a1781
1351055568a4
14286da5c69b
151603c79eb4
hexc8a912511

53864375569 has 27 divisors (see below), whose sum is σ = 57237276369. Its totient is φ = 50687800800.

The previous prime is 53864375563. The next prime is 53864375599. The reversal of 53864375569 is 96557346835.

The square root of 53864375569 is 232087.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3379678225 + 50484697344 = 58135^2 + 224688^2 .

It is not a de Polignac number, because 53864375569 - 23 = 53864375561 is a prime.

It is a super-2 number, since 2×538643755692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53864375561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 356717644 + ... + 356717794.

Almost surely, 253864375569 is an apocalyptic number.

53864375569 is the 232087-th square number.

53864375569 is the 116044-th centered octagonal number.

It is an amenable number.

53864375569 is a deficient number, since it is larger than the sum of its proper divisors (3372900800).

53864375569 is an frugal number, since it uses more digits than its factorization.

53864375569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 61.

The spelling of 53864375569 in words is "fifty-three billion, eight hundred sixty-four million, three hundred seventy-five thousand, five hundred sixty-nine".

Divisors: 1 29 53 151 841 1537 2809 4379 8003 22801 44573 81461 126991 232087 424159 661229 1208453 2362369 6730523 12300611 19175641 35045137 64048009 356717719 1016308973 1857392261 53864375569