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132355540464532 = 2272113116317896791
BaseRepresentation
bin11110000110000001101100…
…111110010011001110010100
3122100122001210011222002121221
4132012001230332103032110
5114322003121324331112
61145255143525020124
736610241451250600
oct3606015476231624
9570561704862557
10132355540464532
11391997400aa370
1212a17482854644
1358b10c64c8948
14249808426c500
151047d10bdde07
hex78606cf93394

132355540464532 has 288 divisors, whose sum is σ = 305491180216320. Its totient is φ = 49562458848000.

The previous prime is 132355540464523. The next prime is 132355540464557. The reversal of 132355540464532 is 235464045553231.

It is a self number, because there is not a number n which added to its sum of digits gives 132355540464532.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 19489842057 + ... + 19489848847.

It is an arithmetic number, because the mean of its divisors is an integer number (1060733264640).

Almost surely, 2132355540464532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132355540464532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152745590108160).

132355540464532 is an abundant number, since it is smaller than the sum of its proper divisors (173135639751788).

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

132355540464532 is a wasteful number, since it uses less digits than its factorization.

132355540464532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8803 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 52.

The spelling of 132355540464532 in words is "one hundred thirty-two trillion, three hundred fifty-five billion, five hundred forty million, four hundred sixty-four thousand, five hundred thirty-two".