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13037823252 = 2232362161757
BaseRepresentation
bin11000010010001110…
…10110010100010100
31020122121222001012200
430021013112110110
5203200140321002
65553421444500
7641042445336
oct141107262424
936577861180
1013037823252
115590569643
12263a410730
1312ca18581c
148b97b3456
15514923b1c
hex3091d6514

13037823252 has 18 divisors (see below), whose sum is σ = 32956719978. Its totient is φ = 4345941072.

The previous prime is 13037823251. The next prime is 13037823289. The reversal of 13037823252 is 25232873031.

13037823252 is a `hidden beast` number, since 1 + 3 + 0 + 378 + 232 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7115597316 + 5922225936 = 84354^2 + 76956^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 362161757 = 13037823252 / (1 + 3 + 0 + 3 + 7 + 8 + 2 + 3 + 2 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13037823251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181080843 + ... + 181080914.

Almost surely, 213037823252 is an apocalyptic number.

13037823252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13037823252 is an abundant number, since it is smaller than the sum of its proper divisors (19918896726).

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

13037823252 is a wasteful number, since it uses less digits than its factorization.

13037823252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362161767 (or 362161762 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13037823252 in words is "thirteen billion, thirty-seven million, eight hundred twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 362161757 724323514 1086485271 1448647028 2172970542 3259455813 4345941084 6518911626 13037823252