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13625160296 = 23111734631933
BaseRepresentation
bin11001011000001111…
…10111001001101000
31022011120010212011112
430230013313021220
5210401020112141
610132002245452
7661433644256
oct145407671150
938146125145
1013625160296
115862058660
122783056888
131391a69737
149337c15d6
1554b28e7eb
hex32c1f7268

13625160296 has 64 divisors (see below), whose sum is σ = 28105816320. Its totient is φ = 6140977920.

The previous prime is 13625160287. The next prime is 13625160301. The reversal of 13625160296 is 69206152631.

13625160296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7047746 + ... + 7049678.

It is an arithmetic number, because the mean of its divisors is an integer number (439153380).

Almost surely, 213625160296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13625160296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14052908160).

13625160296 is an abundant number, since it is smaller than the sum of its proper divisors (14480656024).

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

13625160296 is a wasteful number, since it uses less digits than its factorization.

13625160296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The spelling of 13625160296 in words is "thirteen billion, six hundred twenty-five million, one hundred sixty thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 22 44 88 173 346 463 692 926 1384 1852 1903 1933 3704 3806 3866 5093 7612 7732 10186 15224 15464 20372 21263 40744 42526 80099 85052 160198 170104 320396 334409 640792 668818 881089 894979 1337636 1762178 1789958 2675272 3524356 3579916 3678499 7048712 7159832 7356998 9844769 14713996 19689538 29427992 39379076 78758152 154831367 309662734 619325468 1238650936 1703145037 3406290074 6812580148 13625160296