Search a number
-
+
132426083031564 = 22371792735352263
BaseRepresentation
bin11110000111000011011001…
…101000110101101000001100
3122100212210212102020210112210
4132013003121220311220030
5114324132104224002224
61145351411441030420
736615316534213410
oct3607033150655014
9570783772223483
10132426083031564
113921664a592043
1212a2908b325410
1358b795918047a
14249b656d5ad40
151049a8dc75429
hex7870d9a35a0c

132426083031564 has 48 divisors (see below), whose sum is σ = 373908940328448. Its totient is φ = 35610375268608.

The previous prime is 132426083031509. The next prime is 132426083031589. The reversal of 132426083031564 is 465130380624231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46367674704 + ... + 46367677559.

It is an arithmetic number, because the mean of its divisors is an integer number (7789769590176).

Almost surely, 2132426083031564 is an apocalyptic number.

132426083031564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132426083031564 is an abundant number, since it is smaller than the sum of its proper divisors (241482857296884).

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

132426083031564 is a wasteful number, since it uses less digits than its factorization.

132426083031564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92735352294 (or 92735352292 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 132426083031564 in words is "one hundred thirty-two trillion, four hundred twenty-six billion, eighty-three million, thirty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 92735352263 185470704526 278206056789 370941409052 556412113578 649147465841 1112824227156 1298294931682 1576500988471 1947442397523 2596589863364 3153001976942 3894884795046 4729502965413 6306003953884 7789769590092 9459005930826 11035506919297 18918011861652 22071013838594 33106520757891 44142027677188 66213041515782 132426083031564