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132352205251240 = 23513254523471637
BaseRepresentation
bin11110000101111110100110…
…001011011110001010101000
3122100121202011202011201002201
4132011332212023132022220
5114321424304021014430
61145253432543505544
736610063012354642
oct3605764613361250
9570552152151081
10132352205251240
11391982894a4247
1212a168b18b82b4
1358b09b4537760
142497c49327892
151047bb7ed28ca
hex785fa62de2a8

132352205251240 has 32 divisors (see below), whose sum is σ = 320699574263880. Its totient is φ = 48868506554112.

The previous prime is 132352205251229. The next prime is 132352205251243. The reversal of 132352205251240 is 42152502253231.

132352205251240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 118336061984644 + 14016143266596 = 10878238^2 + 3743814^2 .

It is a super-2 number, since 2×1323522052512402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132352205251240.

It is not an unprimeable number, because it can be changed into a prime (132352205251243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127261735299 + ... + 127261736338.

Almost surely, 2132352205251240 is an apocalyptic number.

132352205251240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132352205251240 is an abundant number, since it is smaller than the sum of its proper divisors (188347369012640).

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

132352205251240 is a wasteful number, since it uses less digits than its factorization.

132352205251240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254523471661 (or 254523471657 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 132352205251240 in words is "one hundred thirty-two trillion, three hundred fifty-two billion, two hundred five million, two hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 254523471637 509046943274 1018093886548 1272617358185 2036187773096 2545234716370 3308805131281 5090469432740 6617610262562 10180938865480 13235220525124 16544025656405 26470441050248 33088051312810 66176102625620 132352205251240