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116669563920 = 243357133141467
BaseRepresentation
bin110110010101000001…
…1000100010000010000
3102011010220100221002000
41230222003010100100
53402414402021140
6125333001354000
711300115634140
oct1545203042020
9364126327060
10116669563920
114552aa22208
121a740498900
13b004209730
14590acc6920
15307c8dea30
hex1b2a0c4410

116669563920 has 1280 divisors, whose sum is σ = 524126453760. Its totient is φ = 23191142400.

The previous prime is 116669563877. The next prime is 116669563943. The reversal of 116669563920 is 29365966611.

It is a super-2 number, since 2×1166695639202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 249827527 + ... + 249827993.

It is an arithmetic number, because the mean of its divisors is an integer number (409473792).

Almost surely, 2116669563920 is an apocalyptic number.

116669563920 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 116669563920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262063226880).

116669563920 is an abundant number, since it is smaller than the sum of its proper divisors (407456889840).

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

116669563920 is a wasteful number, since it uses less digits than its factorization.

116669563920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 116669563920 in words is "one hundred sixteen billion, six hundred sixty-nine million, five hundred sixty-three thousand, nine hundred twenty".