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13168364456 = 23131636171259
BaseRepresentation
bin11000100001110010…
…10100101110101000
31020222201121020002002
430100321110232220
5203432100130311
610014403430132
7644216152052
oct142071245650
936881536062
1013168364456
115648220135
122676085348
13131b230740
148ccc748d2
1552110c93b
hex310e54ba8

13168364456 has 64 divisors (see below), whose sum is σ = 26817739200. Its totient is φ = 6025840128.

The previous prime is 13168364437. The next prime is 13168364483. The reversal of 13168364456 is 65446386131.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13168364456.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10458755 + ... + 10460013.

It is an arithmetic number, because the mean of its divisors is an integer number (419027175).

Almost surely, 213168364456 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 13168364456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13408869600).

13168364456 is an abundant number, since it is smaller than the sum of its proper divisors (13649374744).

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

13168364456 is a wasteful number, since it uses less digits than its factorization.

13168364456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2054 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 47.

The spelling of 13168364456 in words is "thirteen billion, one hundred sixty-eight million, three hundred sixty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 163 326 617 652 1234 1259 1304 2119 2468 2518 4238 4936 5036 8021 8476 10072 16042 16367 16952 32084 32734 64168 65468 100571 130936 201142 205217 402284 410434 776803 804568 820868 1307423 1553606 1641736 2614846 2667821 3107212 5229692 5335642 6214424 10098439 10459384 10671284 20196878 21342568 40393756 80787512 126618889 253237778 506475556 1012951112 1646045557 3292091114 6584182228 13168364456