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116374594800 = 24352177180347
BaseRepresentation
bin110110001100001110…
…1110110010011110000
3102010101100022221111210
41230120131312103300
53401313344013200
6125243423240120
711256604506642
oct1543035662360
9363340287453
10116374594800
1145399474582
121a679749040
13ac880807a9
1458bda62892
153061a76650
hex1b187764f0

116374594800 has 240 divisors, whose sum is σ = 400279594752. Its totient is φ = 28796006400.

The previous prime is 116374594771. The next prime is 116374594907. The reversal of 116374594800 is 8495473611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 116374594800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1408227 + ... + 1488573.

Almost surely, 2116374594800 is an apocalyptic number.

116374594800 is a gapful number since it is divisible by the number (10) 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 116374594800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200139797376).

116374594800 is an abundant number, since it is smaller than the sum of its proper divisors (283904999952).

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

116374594800 is a wasteful number, since it uses less digits than its factorization.

116374594800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80456 (or 80445 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 116374594800 in words is "one hundred sixteen billion, three hundred seventy-four million, five hundred ninety-four thousand, eight hundred".