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117675383040 = 283356155819
BaseRepresentation
bin110110110010111111…
…1111101100100000000
3102020201222222211112000
41231211333331210000
53411444344224130
6130020451504000
711334051152325
oct1554577754400
9366658884460
10117675383040
11459a675aa86
121a9812b8000
13b134703487
1459a470ab4c
1530dad70260
hex1b65ffd900

117675383040 has 288 divisors, whose sum is σ = 424437417600. Its totient is φ = 30865121280.

The previous prime is 117675383039. The next prime is 117675383053. The reversal of 117675383040 is 40383576711.

117675383040 is a `hidden beast` number, since 1 + 1 + 76 + 7 + 538 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1176753830402 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 2080251 + ... + 2136069.

Almost surely, 2117675383040 is an apocalyptic number.

117675383040 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 117675383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212218708800).

117675383040 is an abundant number, since it is smaller than the sum of its proper divisors (306762034560).

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

117675383040 is an equidigital number, since it uses as much as digits as its factorization.

117675383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55910 (or 55890 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 117675383040 in words is "one hundred seventeen billion, six hundred seventy-five million, three hundred eighty-three thousand, forty".