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13313815856 = 241124124091
BaseRepresentation
bin11000110011001000…
…01011010100110000
31021100212021220212222
430121210023110300
5204231314101411
610041041140212
7650633365445
oct143144132460
937325256788
1013313815856
115712335a00
1226b692a668
1313423c9163
149042d79cc
1552dc8e4db
hex31990b530

13313815856 has 90 divisors (see below), whose sum is σ = 29069277468. Its totient is φ = 5902688000.

The previous prime is 13313815807. The next prime is 13313815883. The reversal of 13313815856 is 65851831331.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3252371 + ... + 3256461.

Almost surely, 213313815856 is an apocalyptic number.

13313815856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313815856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534638734).

13313815856 is an abundant number, since it is smaller than the sum of its proper divisors (15755461612).

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

13313815856 is a wasteful number, since it uses less digits than its factorization.

13313815856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4145 counting only the distinct ones).

The product of its digits is 259200, while the sum is 44.

The spelling of 13313815856 in words is "thirteen billion, three hundred thirteen million, eight hundred fifteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 121 164 176 242 328 451 484 656 902 968 1681 1804 1936 3362 3608 4091 4961 6724 7216 8182 9922 13448 16364 18491 19844 26896 32728 36982 39688 45001 65456 73964 79376 90002 147928 167731 180004 203401 295856 335462 360008 406802 495011 670924 720016 813604 990022 1341848 1627208 1845041 1980044 2683696 3254416 3690082 3960088 6876971 7380164 7920176 13753942 14760328 20295451 27507884 29520656 40590902 55015768 75646681 81181804 110031536 151293362 162363608 302586724 324727216 605173448 832113491 1210346896 1664226982 3328453964 6656907928 13313815856