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132893022528 = 2632764151419
BaseRepresentation
bin111101111000100001…
…0101001100101000000
3110201000112200000110100
41323301002221211000
54134131103210103
6141014502402400
712413133024240
oct1736102514500
9421015600410
10132893022528
11513a5712842
1221909730400
13c6bb371696
1466097c5b20
1536cbd255a3
hex1ef10a9940

132893022528 has 168 divisors, whose sum is σ = 436017741120. Its totient is φ = 37909463040.

The previous prime is 132893022503. The next prime is 132893022539. The reversal of 132893022528 is 825220398231.

132893022528 is a `hidden beast` number, since 1 + 32 + 8 + 93 + 0 + 2 + 2 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2558803 + ... + 2610221.

Almost surely, 2132893022528 is an apocalyptic number.

132893022528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132893022528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218008870560).

132893022528 is an abundant number, since it is smaller than the sum of its proper divisors (303124718592).

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

132893022528 is a wasteful number, since it uses less digits than its factorization.

132893022528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52085 (or 52072 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 132893022528 in words is "one hundred thirty-two billion, eight hundred ninety-three million, twenty-two thousand, five hundred twenty-eight".