Search a number
-
+
13310132256 = 253262877351
BaseRepresentation
bin11000110010101100…
…01000000000100000
31021100121100202221100
430121112020000200
5204224343213011
610040430154400
7650560154211
oct143126100040
937317322840
1013310132256
11571024a403
1226b5652a00
131341709605
14903a19408
1552d7b2d56
hex319588020

13310132256 has 72 divisors (see below), whose sum is σ = 37861858944. Its totient is φ = 4435401600.

The previous prime is 13310132243. The next prime is 13310132261. The reversal of 13310132256 is 65223101331.

13310132256 is a `hidden beast` number, since 1 + 331 + 0 + 1 + 322 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1806981 + ... + 1814331.

It is an arithmetic number, because the mean of its divisors is an integer number (525859152).

Almost surely, 213310132256 is an apocalyptic number.

13310132256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13310132256 is an abundant number, since it is smaller than the sum of its proper divisors (24551726688).

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

13310132256 is a wasteful number, since it uses less digits than its factorization.

13310132256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13654 (or 13643 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13310132256 its reverse (65223101331), we get a palindrome (78533233587).

The spelling of 13310132256 in words is "thirteen billion, three hundred ten million, one hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6287 7351 12574 14702 18861 22053 25148 29404 37722 44106 50296 56583 58808 66159 75444 88212 100592 113166 117616 132318 150888 176424 201184 226332 235232 264636 301776 352848 452664 529272 603552 705696 905328 1058544 1810656 2117088 46215737 92431474 138647211 184862948 277294422 369725896 415941633 554588844 739451792 831883266 1109177688 1478903584 1663766532 2218355376 3327533064 4436710752 6655066128 13310132256