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116902290960 = 243457213127223
BaseRepresentation
bin110110011011111101…
…0110110011000010000
3102011202010021200120000
41230313322312120100
53403403441302320
6125412033450000
711305643035500
oct1546772663020
9364663250500
10116902290960
114563a328504
121a7a6410900
13b0404b2040
14592db87a00
153093060c90
hex1b37eb6610

116902290960 has 1200 divisors, whose sum is σ = 514943041536. Its totient is φ = 24361150464.

The previous prime is 116902290917. The next prime is 116902290977. The reversal of 116902290960 is 69092209611.

It is a super-2 number, since 2×1169022909602 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 524225409 + ... + 524225631.

Almost surely, 2116902290960 is an apocalyptic number.

116902290960 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 116902290960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257471520768).

116902290960 is an abundant number, since it is smaller than the sum of its proper divisors (398040750576).

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

116902290960 is a wasteful number, since it uses less digits than its factorization.

116902290960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 116902290960 in words is "one hundred sixteen billion, nine hundred two million, two hundred ninety thousand, nine hundred sixty".