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13152015144 = 2333385315803
BaseRepresentation
bin11000011111110101…
…11101001100101000
31020221120211121001000
430033322331030220
5203413403441034
610013021155000
7643630166322
oct141772751450
936846747030
1013152015144
115639a73704
1226706bba60
131317a27ba8
148caa1a612
1551e97d599
hex30febd328

13152015144 has 64 divisors (see below), whose sum is σ = 36545169600. Its totient is φ = 4382589888.

The previous prime is 13152015109. The next prime is 13152015193. The reversal of 13152015144 is 44151025131.

13152015144 is a `hidden beast` number, since 1 + 315 + 201 + 5 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 824347 + ... + 840149.

It is an arithmetic number, because the mean of its divisors is an integer number (571018275).

Almost surely, 213152015144 is an apocalyptic number.

It is an amenable number.

13152015144 is an abundant number, since it is smaller than the sum of its proper divisors (23393154456).

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

13152015144 is a wasteful number, since it uses less digits than its factorization.

13152015144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19671 (or 19661 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 13152015144 in words is "thirteen billion, one hundred fifty-two million, fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 3853 7706 11559 15412 15803 23118 30824 31606 34677 46236 47409 63212 69354 92472 94818 104031 126424 138708 142227 189636 208062 277416 284454 379272 416124 426681 568908 832248 853362 1137816 1706724 3413448 60888959 121777918 182666877 243555836 365333754 487111672 548000631 730667508 1096001262 1461335016 1644001893 2192002524 3288003786 4384005048 6576007572 13152015144