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117605100096 = 26341124332
BaseRepresentation
bin110110110000111001…
…1110110101001000000
3102020120002202002110000
41231201303312221000
53411323401200341
6130005501240000
711332235566641
oct1554163665100
9366502662400
10117605100096
1145970016400
121a961863000
13b122c95c33
1459992536c8
1530d4ada8b6
hex1b61cf6a40

117605100096 has 315 divisors, whose sum is σ = 384079094553. Its totient is φ = 35555604480.

The previous prime is 117605100077. The next prime is 117605100113. The reversal of 117605100096 is 690001506711.

It is a happy number.

The square root of 117605100096 is 342936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13188225600 + 104416874496 = 114840^2 + 323136^2 .

It is a super-3 number, since 3×1176051000963 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 117605100096.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 271605096 + ... + 271605528.

Almost surely, 2117605100096 is an apocalyptic number.

117605100096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117605100096 is the 342936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117605100096

117605100096 is an abundant number, since it is smaller than the sum of its proper divisors (266473994457).

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

117605100096 is an frugal number, since it uses more digits than its factorization.

117605100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

Multiplying 117605100096 by its sum of digits (36), we get a square (4233783603456 = 20576162).

117605100096 divided by its sum of digits (36) gives a square (3266808336 = 571562).

The spelling of 117605100096 in words is "one hundred seventeen billion, six hundred five million, one hundred thousand, ninety-six".