Search a number
-
+
132545370075716 = 221323313669800329
BaseRepresentation
bin11110001000110010011111…
…101100110011001001000100
3122101022012202201212111111002
4132020302133230303021010
5114333110404214410331
61145522300304232432
736630041555314343
oct3610623754631104
9571265681774432
10132545370075716
11392621a2a58954
1212a4822030b718
1358c5c89740370
1424a3331715b5a
15104cc213499cb
hex788c9fb33244

132545370075716 has 48 divisors (see below), whose sum is σ = 250887800545200. Its totient is φ = 60907701123072.

The previous prime is 132545370075709. The next prime is 132545370075773. The reversal of 132545370075716 is 617570073545231.

It can be written as a sum of positive squares in 8 ways, for example, as 3062136010816 + 129483234064900 = 1749896^2 + 11379070^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 165213440 + ... + 166013768.

It is an arithmetic number, because the mean of its divisors is an integer number (5226829178025).

Almost surely, 2132545370075716 is an apocalyptic number.

It is an amenable number.

132545370075716 is a deficient number, since it is larger than the sum of its proper divisors (118342430469484).

132545370075716 is a wasteful number, since it uses less digits than its factorization.

132545370075716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814248 (or 814246 counting only the distinct ones).

The product of its (nonzero) digits is 18522000, while the sum is 56.

The spelling of 132545370075716 in words is "one hundred thirty-two trillion, five hundred forty-five billion, three hundred seventy million, seventy-five thousand, seven hundred sixteen".

Divisors: 1 2 4 13 26 52 233 466 932 3029 6058 12116 13669 27338 54676 177697 355394 710788 800329 1600658 3184877 3201316 6369754 10404277 12739508 20808554 41403401 41617108 82806802 165613604 186476657 372953314 745906628 2424196541 4848393082 9696786164 10939697101 21879394202 43758788404 142216062313 284432124626 568864249252 2548949424533 5097898849066 10195797698132 33136342518929 66272685037858 132545370075716