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89528856184040 = 235721331833114391
BaseRepresentation
bin10100010110110100001111…
…101010111000010011101000
3102201222212121220212121001212
4110112310033222320103220
543213320044140342130
6514224553322332252
724600150342230600
oct2426641752702350
9381885556777055
1089528856184040
1126587a7a337949
12a05b36095a088
133ac56c5282690
141817311041c00
15a53cb7233e95
hex516d0fab84e8

89528856184040 has 768 divisors, whose sum is σ = 264540147056640. Its totient is φ = 26996772096000.

The previous prime is 89528856184037. The next prime is 89528856184063. The reversal of 89528856184040 is 4048165882598.

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 191 ways as a sum of consecutive naturals, for example, 20389170245 + ... + 20389174635.

It is an arithmetic number, because the mean of its divisors is an integer number (344453316480).

Almost surely, 289528856184040 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 89528856184040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132270073528320).

89528856184040 is an abundant number, since it is smaller than the sum of its proper divisors (175011290872600).

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

89528856184040 is a wasteful number, since it uses less digits than its factorization.

89528856184040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 68.

The spelling of 89528856184040 in words is "eighty-nine trillion, five hundred twenty-eight billion, eight hundred fifty-six million, one hundred eighty-four thousand, forty".