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13351445256 = 23329136714033
BaseRepresentation
bin11000110111100111…
…01110001100001000
31021110111002200201110
430123303232030020
5204320432222011
610044503450320
7651601261242
oct143363561410
937414080643
1013351445256
1157315a7486
1227074569a0
13134a142986
149092d1092
15532223ba6
hex31bcee308

13351445256 has 64 divisors (see below), whose sum is σ = 34557321600. Its totient is φ = 4293567488.

The previous prime is 13351445251. The next prime is 13351445281. The reversal of 13351445256 is 65254415331.

It is a happy number.

13351445256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133514452562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13351445251) by changing a digit.

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, 944416 + ... + 958448.

It is an arithmetic number, because the mean of its divisors is an integer number (539958150).

Almost surely, 213351445256 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 13351445256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278660800).

13351445256 is an abundant number, since it is smaller than the sum of its proper divisors (21205876344).

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

13351445256 is a wasteful number, since it uses less digits than its factorization.

13351445256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15438 (or 15434 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The spelling of 13351445256 in words is "thirteen billion, three hundred fifty-one million, four hundred forty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1367 2734 4101 5468 8202 10936 14033 16404 28066 32808 39643 42099 56132 79286 84198 112264 118929 158572 168396 237858 317144 336792 406957 475716 813914 951432 1220871 1627828 2441742 3255656 4883484 9766968 19183111 38366222 57549333 76732444 115098666 153464888 230197332 460394664 556310219 1112620438 1668930657 2225240876 3337861314 4450481752 6675722628 13351445256