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113753076529 = 36729192
BaseRepresentation
bin110100111110000110…
…1100011001100110001
3101212121122111000111111
41221330031203030301
53330431241422104
6124131335113321
711134623124351
oct1517415431461
9355548430444
10113753076529
1144273712054
121a067812841
13a95ac15351
14571181cb61
152e5b845404
hex1a7c363331

113753076529 has 9 divisors (see below), whose sum is σ = 114188127417. Its totient is φ = 113319680724.

The previous prime is 113753076517. The next prime is 113753076581. The reversal of 113753076529 is 925670357311.

The square root of 113753076529 is 337273.

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

It is not a de Polignac number, because 113753076529 - 225 = 113719522097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113753046529) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 123778732 + ... + 123779650.

It is an arithmetic number, because the mean of its divisors is an integer number (12687569713).

Almost surely, 2113753076529 is an apocalyptic number.

113753076529 is the 337273-rd square number.

113753076529 is the 168637-th centered octagonal number.

It is an amenable number.

113753076529 is a deficient number, since it is larger than the sum of its proper divisors (435050888).

113753076529 is an frugal number, since it uses more digits than its factorization.

113753076529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 49.

Multiplying 113753076529 by its sum of digits (49), we get a square (5573900749921 = 23609112).

The spelling of 113753076529 in words is "one hundred thirteen billion, seven hundred fifty-three million, seventy-six thousand, five hundred twenty-nine".

Divisors: 1 367 919 134689 337273 844561 123779191 309953887 113753076529