Search a number
-
+
13113632772 = 22323143273269
BaseRepresentation
bin11000011011010001…
…00010100000000100
31020211220121120022200
430031220202200010
5203324042222042
610005130354500
7642653016342
oct141550424004
936756546280
1013113632772
11561a338439
12265b88ba30
13130caa9726
148c58a8992
1551b3eac4c
hex30da22804

13113632772 has 72 divisors (see below), whose sum is σ = 35013538560. Its totient is φ = 4131812160.

The previous prime is 13113632683. The next prime is 13113632783. The reversal of 13113632772 is 27723631131.

13113632772 is a `hidden beast` number, since 1 + 3 + 1 + 13 + 632 + 7 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88647 + ... + 184622.

Almost surely, 213113632772 is an apocalyptic number.

13113632772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13113632772 is an abundant number, since it is smaller than the sum of its proper divisors (21899905788).

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

13113632772 is a wasteful number, since it uses less digits than its factorization.

13113632772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273353 (or 273348 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The spelling of 13113632772 in words is "thirteen billion, one hundred thirteen million, six hundred thirty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 172 186 258 279 372 387 516 558 774 1116 1333 1548 2666 3999 5332 7998 11997 15996 23994 47988 273269 546538 819807 1093076 1639614 2459421 3279228 4918842 8471339 9837684 11750567 16942678 23501134 25414017 33885356 35251701 47002268 50828034 70503402 76242051 101656068 105755103 141006804 152484102 211510206 304968204 364267577 423020412 728535154 1092802731 1457070308 2185605462 3278408193 4371210924 6556816386 13113632772