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117438647040 = 283451113892
BaseRepresentation
bin110110101011111100…
…0111000101100000000
3102020010111112101210000
41231113320320230000
53411003243201130
6125541153440000
711325145013031
oct1552770705400
9366114471700
10117438647040
11458950667a0
121a915b70000
13b0c76561c0
1459810c4a88
1530c51ab260
hex1b57e38b00

117438647040 has 1080 divisors, whose sum is σ = 499290766128. Its totient is φ = 25984696320.

The previous prime is 117438646909. The next prime is 117438647057. The reversal of 117438647040 is 40746834711.

117438647040 is a `hidden beast` number, since 1 + 174 + 3 + 8 + 6 + 470 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 1319535316 + ... + 1319535404.

Almost surely, 2117438647040 is an apocalyptic number.

117438647040 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 117438647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249645383064).

117438647040 is an abundant number, since it is smaller than the sum of its proper divisors (381852119088).

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

117438647040 is an equidigital number, since it uses as much as digits as its factorization.

117438647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 117438647040 in words is "one hundred seventeen billion, four hundred thirty-eight million, six hundred forty-seven thousand, forty".