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116520449846976 = 263272192109310463
BaseRepresentation
bin11010011111100110001000…
…000001011010111011000000
3120021120020122111021220112200
4122133212020001122323000
5110233032340130100401
61051452431121153200
733354216240655500
oct3237461001327300
9507506574256480
10116520449846976
113414405529081a
121109a53aa8b800
135002aa63cba96
1420ab896c97a00
15d70e6e7a7686
hex69f98805aec0

116520449846976 has 756 divisors, whose sum is σ = 410451604385472. Its totient is φ = 31507502487552.

The previous prime is 116520449846939. The next prime is 116520449847037. The reversal of 116520449846976 is 679648944025611.

116520449846976 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 2 + 0 + 4 + 4 + 98 + 469 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11136423121 + ... + 11136433583.

Almost surely, 2116520449846976 is an apocalyptic number.

116520449846976 is a gapful number since it is divisible by the number (16) 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 116520449846976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205225802192736).

116520449846976 is an abundant number, since it is smaller than the sum of its proper divisors (293931154538496).

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

116520449846976 is a wasteful number, since it uses less digits than its factorization.

116520449846976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11626 (or 11587 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 116520449846976 in words is "one hundred sixteen trillion, five hundred twenty billion, four hundred forty-nine million, eight hundred forty-six thousand, nine hundred seventy-six".