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116873003520 = 29335713171093
BaseRepresentation
bin110110011011000101…
…1001000001000000000
3102011200002011201202000
41230312023020020000
53403323442103040
6125405110024000
711305136065410
oct1546613101000
9364602151660
10116873003520
1145624844409
121a798648000
13b0373c94b0
145929d22640
1530906c8130
hex1b362c8200

116873003520 has 1280 divisors, whose sum is σ = 541495342080. Its totient is φ = 23187161088.

The previous prime is 116873003491. The next prime is 116873003549. The reversal of 116873003520 is 25300378611.

116873003520 is a `hidden beast` number, since 1 + 1 + 68 + 73 + 0 + 0 + 3 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (116873003491) and next prime (116873003549).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106928094 + ... + 106929186.

It is an arithmetic number, because the mean of its divisors is an integer number (423043236).

Almost surely, 2116873003520 is an apocalyptic number.

116873003520 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 116873003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270747671040).

116873003520 is an abundant number, since it is smaller than the sum of its proper divisors (424622338560).

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

116873003520 is a wasteful number, since it uses less digits than its factorization.

116873003520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 116873003520 in words is "one hundred sixteen billion, eight hundred seventy-three million, three thousand, five hundred twenty".