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89307957816 = 2332721121311597
BaseRepresentation
bin101001100101100101…
…0110100101000111000
322112112000200022201100
41103023022310220320
52430400314122231
6105005535251400
76311064054600
oct1231312645070
9275460608640
1089307957816
113496a017600
1215385079b60
13856363b06c
144473035c00
1524ca72c1e6
hex14cb2b4a38

89307957816 has 432 divisors, whose sum is σ = 311825634120. Its totient is φ = 23005382400.

The previous prime is 89307957803. The next prime is 89307957911. The reversal of 89307957816 is 61875970398.

It is a super-2 number, since 2×893079578162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 55921530 + ... + 55923126.

Almost surely, 289307957816 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 89307957816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155912817060).

89307957816 is an abundant number, since it is smaller than the sum of its proper divisors (222517676304).

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

89307957816 is a wasteful number, since it uses less digits than its factorization.

89307957816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 89307957816 in words is "eighty-nine billion, three hundred seven million, nine hundred fifty-seven thousand, eight hundred sixteen".