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116269456320 = 2633543131223
BaseRepresentation
bin110110001001000110…
…0110001101111000000
3102010010000111100122000
41230102030301233000
53401104440100240
6125225145544000
711254160033523
oct1542214615700
9363100440560
10116269456320
1145345093476
121a64a4a5000
13ac6c35b184
1458adad4bba
153057709430
hex1b12331bc0

116269456320 has 224 divisors, whose sum is σ = 411137648640. Its totient is φ = 30932259840.

The previous prime is 116269456307. The next prime is 116269456363. The reversal of 116269456320 is 23654962611.

116269456320 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 6 + 9 + 4 + 5 + 632 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3708229 + ... + 3739451.

Almost surely, 2116269456320 is an apocalyptic number.

116269456320 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 116269456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205568824320).

116269456320 is an abundant number, since it is smaller than the sum of its proper divisors (294868192320).

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

116269456320 is a wasteful number, since it uses less digits than its factorization.

116269456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31680 (or 31664 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 116269456320 in words is "one hundred sixteen billion, two hundred sixty-nine million, four hundred fifty-six thousand, three hundred twenty".