Search a number
-
+
132656140133984 = 2541174757876281
BaseRepresentation
bin11110001010011001101010…
…000111000010011001100000
3122101200210200111021111012202
4132022121222013002121200
5114341414233333241414
61150045220043112332
736641042550264545
oct3612315207023140
9571623614244182
10132656140133984
11392a5175849155
1212a65794b126a8
13590356063883c
1424a883ccacbcc
151050a55d529de
hex78a66a1c2660

132656140133984 has 48 divisors (see below), whose sum is σ = 267689842516656. Its totient is φ = 64673270323200.

The previous prime is 132656140133971. The next prime is 132656140134013. The reversal of 132656140133984 is 489331041656231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26646077 + ... + 31230204.

It is an arithmetic number, because the mean of its divisors is an integer number (5576871719097).

Almost surely, 2132656140133984 is an apocalyptic number.

It is an amenable number.

132656140133984 is an abundant number, since it is smaller than the sum of its proper divisors (135033702382672).

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

132656140133984 is a wasteful number, since it uses less digits than its factorization.

132656140133984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57878079 (or 57878071 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 56.

The spelling of 132656140133984 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, one hundred forty million, one hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1747 3494 6988 13976 27952 55904 71627 143254 286508 573016 1146032 2292064 57876281 115752562 231505124 463010248 926020496 1852040992 2372927521 4745855042 9491710084 18983420168 37966840336 75933680672 101109862907 202219725814 404439451628 808878903256 1617757806512 3235515613024 4145504379187 8291008758374 16582017516748 33164035033496 66328070066992 132656140133984