Search a number
-
+
132917936112 = 243213193737009
BaseRepresentation
bin111101111001010000…
…1101011111111110000
3110201002021112202110200
41323302201223333300
54134203442423422
6141021152355200
712413554546503
oct1736241537760
9421067482420
10132917936112
1151408789785
1221915b45b00
13c6c3585450
14660cc2d13a
1536ce0e72ac
hex1ef286bff0

132917936112 has 120 divisors (see below), whose sum is σ = 421684208400. Its totient is φ = 38745298944.

The previous prime is 132917936089. The next prime is 132917936113. The reversal of 132917936112 is 211639719231.

132917936112 is a `hidden beast` number, since 1 + 3 + 29 + 1 + 7 + 9 + 3 + 611 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132917936113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1832937 + ... + 1904072.

It is an arithmetic number, because the mean of its divisors is an integer number (3514035070).

Almost surely, 2132917936112 is an apocalyptic number.

132917936112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132917936112 is an abundant number, since it is smaller than the sum of its proper divisors (288766272288).

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

132917936112 is a wasteful number, since it uses less digits than its factorization.

132917936112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737055 (or 3737046 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The spelling of 132917936112 in words is "one hundred thirty-two billion, nine hundred seventeen million, nine hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 456 468 494 624 684 741 912 936 988 1368 1482 1872 1976 2223 2736 2964 3952 4446 5928 8892 11856 17784 35568 3737009 7474018 11211027 14948036 22422054 29896072 33633081 44844108 48581117 59792144 67266162 71003171 89688216 97162234 134532324 142006342 145743351 179376432 194324468 213009513 269064648 284012684 291486702 388648936 426019026 437230053 538129296 568025368 582973404 639028539 777297872 852038052 874460106 923041223 1136050736 1165946808 1278057078 1704076104 1748920212 1846082446 2331893616 2556114156 2769123669 3408152208 3497840424 3692164892 5112228312 5538247338 6995680848 7384329784 8307371007 10224456624 11076494676 14768659568 16614742014 22152989352 33229484028 44305978704 66458968056 132917936112