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132601242276 = 22323683367841
BaseRepresentation
bin111101101111110100…
…1100110001010100100
3110200021012122001012100
41323133221212022210
54133031404223101
6140525520452100
712402660651036
oct1733751461244
9420235561170
10132601242276
1151265a42a38
1221847a7a030
13c672a91049
1465bcb51c56
1536b13dbe86
hex1edfa662a4

132601242276 has 18 divisors (see below), whose sum is σ = 335186473622. Its totient is φ = 44200414080.

The previous prime is 132601242259. The next prime is 132601242313. The reversal of 132601242276 is 672242106231.

132601242276 is a `hidden beast` number, since 1 + 3 + 2 + 601 + 2 + 42 + 2 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75779078400 + 56822163876 = 275280^2 + 238374^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3683367841 = 132601242276 / (1 + 3 + 2 + 6 + 0 + 1 + 2 + 4 + 2 + 2 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 132601242276.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1841683885 + ... + 1841683956.

Almost surely, 2132601242276 is an apocalyptic number.

It is an amenable number.

132601242276 is an abundant number, since it is smaller than the sum of its proper divisors (202585231346).

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

132601242276 is a wasteful number, since it uses less digits than its factorization.

132601242276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683367851 (or 3683367846 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 132601242276 in words is "one hundred thirty-two billion, six hundred one million, two hundred forty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 3683367841 7366735682 11050103523 14733471364 22100207046 33150310569 44200414092 66300621138 132601242276