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13125115656 = 2332182293273
BaseRepresentation
bin11000011100101000…
…10101111100001000
31020212201012221212200
430032110111330020
5203340012200111
610010220440200
7643152433212
oct141624257410
936781187780
1013125115656
115625870724
1226636a9060
13131229a233
148c72175b2
1551c418256
hex30e515f08

13125115656 has 24 divisors (see below), whose sum is σ = 35547188430. Its totient is φ = 4375038528.

The previous prime is 13125115649. The next prime is 13125115657. The reversal of 13125115656 is 65651152131.

13125115656 is a `hidden beast` number, since 131 + 2 + 511 + 5 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10118348100 + 3006767556 = 100590^2 + 54834^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13125115656.

It is not an unprimeable number, because it can be changed into a prime (13125115657) 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, 91146565 + ... + 91146708.

Almost surely, 213125115656 is an apocalyptic number.

It is an amenable number.

13125115656 is an abundant number, since it is smaller than the sum of its proper divisors (22422072774).

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

13125115656 is a wasteful number, since it uses less digits than its factorization.

13125115656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182293285 (or 182293278 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

Adding to 13125115656 its reverse (65651152131), we get a palindrome (78776267787).

The spelling of 13125115656 in words is "thirteen billion, one hundred twenty-five million, one hundred fifteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 182293273 364586546 546879819 729173092 1093759638 1458346184 1640639457 2187519276 3281278914 4375038552 6562557828 13125115656