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117382165680 = 243513198323857
BaseRepresentation
bin110110101010010000…
…1011011010010110000
3102012222120020211220210
41231110201123102300
53410344313300210
6125531415104120
711323560642243
oct1552441332260
9365876224823
10117382165680
114586619948a
121a8bb072040
13b0b8a3b990
1459777c125a
1530c0250e20
hex1b5485b4b0

117382165680 has 320 divisors, whose sum is σ = 417488279040. Its totient is φ = 27042398208.

The previous prime is 117382165657. The next prime is 117382165711. The reversal of 117382165680 is 86561283711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4908312 + ... + 4932168.

It is an arithmetic number, because the mean of its divisors is an integer number (1304650872).

Almost surely, 2117382165680 is an apocalyptic number.

117382165680 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 117382165680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208744139520).

117382165680 is an abundant number, since it is smaller than the sum of its proper divisors (300106113360).

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

117382165680 is a wasteful number, since it uses less digits than its factorization.

117382165680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23988 (or 23982 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 117382165680 in words is "one hundred seventeen billion, three hundred eighty-two million, one hundred sixty-five thousand, six hundred eighty".