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116026380288 = 21236721361
BaseRepresentation
bin110110000001110110…
…1100001000000000000
3102002111002002211000000
41230003231201000000
53400110223132123
6125145104000000
711245145650200
oct1540355410000
9362432084000
10116026380288
114522a959895
121a5a1000000
13ac30ba11c0
1458896dc400
1530411e1b43
hex1b03b61000

116026380288 has 1092 divisors, whose sum is σ = 442946902188. Its totient is φ = 30098718720.

The previous prime is 116026380277. The next prime is 116026380319. The reversal of 116026380288 is 882083620611.

116026380288 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 2 + 638 + 0 + 2 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9364045824 + 106662334464 = 96768^2 + 326592^2 .

It is a tau number, because it is divible by the number of its divisors (1092).

It is a super-3 number, since 3×1160263802883 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1902071778 + ... + 1902071838.

Almost surely, 2116026380288 is an apocalyptic number.

116026380288 is a gapful number since it is divisible by the number (18) 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 116026380288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221473451094).

116026380288 is an abundant number, since it is smaller than the sum of its proper divisors (326920521900).

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

116026380288 is an frugal number, since it uses more digits than its factorization.

116026380288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 116026380288 in words is "one hundred sixteen billion, twenty-six million, three hundred eighty thousand, two hundred eighty-eight".