Search a number
-
+
13363100256 = 2531132293919
BaseRepresentation
bin11000111001000000…
…01011101001100000
31021111022000211101010
430130200023221200
5204331423202011
610050001340520
7652102322652
oct143440135140
937438024333
1013363100256
115738138010
12270b337740
13134c69391c
1490aa866d2
155332771a6
hex31c80ba60

13363100256 has 96 divisors (see below), whose sum is σ = 38288678400. Its totient is φ = 4047137280.

The previous prime is 13363100249. The next prime is 13363100279. The reversal of 13363100256 is 65200136331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3407865 + ... + 3411783.

It is an arithmetic number, because the mean of its divisors is an integer number (398840400).

Almost surely, 213363100256 is an apocalyptic number.

13363100256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13363100256 is an abundant number, since it is smaller than the sum of its proper divisors (24925578144).

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

13363100256 is a wasteful number, since it uses less digits than its factorization.

13363100256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172 (or 7164 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 13363100256 its reverse (65200136331), we get a palindrome (78563236587).

The spelling of 13363100256 in words is "thirteen billion, three hundred sixty-three million, one hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3229 3919 6458 7838 9687 11757 12916 15676 19374 23514 25832 31352 35519 38748 43109 47028 51664 62704 71038 77496 86218 94056 103328 106557 125408 129327 142076 154992 172436 188112 213114 258654 284152 309984 344872 376224 426228 517308 568304 689744 852456 1034616 1136608 1379488 1704912 2069232 3409824 4138464 12654451 25308902 37963353 50617804 75926706 101235608 139198961 151853412 202471216 278397922 303706824 404942432 417596883 556795844 607413648 835193766 1113591688 1214827296 1670387532 2227183376 3340775064 4454366752 6681550128 13363100256