Search a number
-
+
132045552553032 = 233217721914943947
BaseRepresentation
bin11110000001100001000000…
…010000010000110001001000
3122022112102122121000121001200
4132001201000100100301020
5114301413242423144112
61144500520040144200
736545655613421556
oct3601410020206110
9568472577017050
10132045552553032
113908a227aa5358
1212987390468060
13588aac4352c41
142487078832bd6
15103ec1b75dcdc
hex781840410c48

132045552553032 has 96 divisors (see below), whose sum is σ = 378712519005600. Its totient is φ = 41420314455552.

The previous prime is 132045552552971. The next prime is 132045552553111. The reversal of 132045552553032 is 230355255540231.

132045552553032 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 45 + 5 + 52 + 553 + 0 + 3 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1364083 + ... + 16308029.

It is an arithmetic number, because the mean of its divisors is an integer number (3944922072975).

Almost surely, 2132045552553032 is an apocalyptic number.

132045552553032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132045552553032 is an abundant number, since it is smaller than the sum of its proper divisors (246666966452568).

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

132045552553032 is a wasteful number, since it uses less digits than its factorization.

132045552553032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14951195 (or 14951188 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 45.

The spelling of 132045552553032 in words is "one hundred thirty-two trillion, forty-five billion, five hundred fifty-two million, five hundred fifty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 7219 14438 21657 28876 43314 57752 64971 86628 122723 129942 173256 245446 259884 368169 490892 519768 736338 981784 1104507 1472676 2209014 2945352 4418028 8836056 14943947 29887894 44831841 59775788 89663682 119551576 134495523 179327364 254047099 268991046 358654728 508094198 537982092 762141297 1016188396 1075964184 1524282594 2032376792 2286423891 3048565188 4572847782 6097130376 9145695564 18291391128 107880353393 215760706786 323641060179 431521413572 647282120358 863042827144 970923180537 1294564240716 1833966007681 1941846361074 2589128481432 3667932015362 3883692722148 5501898023043 7335864030724 7767385444296 11003796046086 14671728061448 16505694069129 22007592092172 33011388138258 44015184184344 66022776276516 132045552553032