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117538940610 = 232572132179277
BaseRepresentation
bin110110101110111011…
…1011110011011000010
3102020101111020211200200
41231131313132123002
53411204432044420
6125555135230030
711330503340100
oct1553567363302
9366344224620
10117538940610
1145936738843
121a943678316
13b112370500
145990550c70
1530cddbcb90
hex1b5ddde6c2

117538940610 has 432 divisors, whose sum is σ = 407632381416. Its totient is φ = 23338119168.

The previous prime is 117538940609. The next prime is 117538940611. The reversal of 117538940610 is 16049835711.

117538940610 is a `hidden beast` number, since 1 + 17 + 538 + 9 + 40 + 61 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117538940609) and next prime (117538940611).

It can be written as a sum of positive squares in 12 ways, for example, as 7294355649 + 110244584961 = 85407^2 + 332031^2 .

It is a super-2 number, since 2×1175389406102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (117538940611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12665292 + ... + 12674568.

Almost surely, 2117538940610 is an apocalyptic number.

117538940610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117538940610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203816190708).

117538940610 is an abundant number, since it is smaller than the sum of its proper divisors (290093440806).

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

117538940610 is a wasteful number, since it uses less digits than its factorization.

117538940610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9347 (or 9324 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 117538940610 in words is "one hundred seventeen billion, five hundred thirty-eight million, nine hundred forty thousand, six hundred ten".