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116355856320 = 26335113173541
BaseRepresentation
bin110110001011101011…
…0010111011111000000
3102010100001001221011000
41230113112113133000
53401244044400240
6125241513452000
711256256313544
oct1542726273700
9363301057130
10116355856320
1145389936030
121a673411000
13ac8421c632
1458bb385a24
1530600c4430
hex1b175977c0

116355856320 has 896 divisors, whose sum is σ = 469436866560. Its totient is φ = 26873856000.

The previous prime is 116355856313. The next prime is 116355856327. The reversal of 116355856320 is 23658553611.

116355856320 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 5 + 5 + 8 + 5 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116355856313) and next prime (116355856327).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116355856327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 215075250 + ... + 215075790.

Almost surely, 2116355856320 is an apocalyptic number.

116355856320 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 116355856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234718433280).

116355856320 is an abundant number, since it is smaller than the sum of its proper divisors (353081010240).

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

116355856320 is a wasteful number, since it uses less digits than its factorization.

116355856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 116355856320 in words is "one hundred sixteen billion, three hundred fifty-five million, eight hundred fifty-six thousand, three hundred twenty".