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70431897600 = 21137521737
BaseRepresentation
bin100000110011000010…
…0010111100000000000
320201210112001010000000
41001212010113200000
52123221031210400
652204520000000
75042240152221
oct1014604274000
9221715033000
1070431897600
1127962a74139
1211797600000
136845a7686c
1435a2121248
151c734c5600
hex1066117800

70431897600 has 1152 divisors, whose sum is σ = 284803646400. Its totient is φ = 17199267840.

The previous prime is 70431897539. The next prime is 70431897703. The reversal of 70431897600 is 679813407.

70431897600 is a `hidden beast` number, since 7 + 0 + 4 + 31 + 8 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1903564782 + ... + 1903564818.

Almost surely, 270431897600 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 70431897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142401823200).

70431897600 is an abundant number, since it is smaller than the sum of its proper divisors (214371748800).

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

70431897600 is an equidigital number, since it uses as much as digits as its factorization.

70431897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 70431897600 in words is "seventy billion, four hundred thirty-one million, eight hundred ninety-seven thousand, six hundred".