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117997937280 = 2732537896221
BaseRepresentation
bin110110111100100111…
…0011010001010000000
3102021120110221021202100
41231321032122022000
53413124432443110
6130112453150400
711345045626566
oct1557116321200
9367513837670
10117997937280
1146051839833
121aa5132b400
13b18649a182
1459d54b1a36
153109336bc0
hex1b7939a280

117997937280 has 384 divisors, whose sum is σ = 423244083600. Its totient is φ = 30266818560.

The previous prime is 117997937249. The next prime is 117997937293. The reversal of 117997937280 is 82739799711.

It is a happy number.

117997937280 is a `hidden beast` number, since 1 + 179 + 97 + 9 + 372 + 8 + 0 = 666.

117997937280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 25372666944 + 92625270336 = 159288^2 + 304344^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 18964570 + ... + 18970790.

Almost surely, 2117997937280 is an apocalyptic number.

117997937280 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 117997937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211622041800).

117997937280 is an abundant number, since it is smaller than the sum of its proper divisors (305246146320).

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

117997937280 is a wasteful number, since it uses less digits than its factorization.

117997937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372 (or 6357 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 63.

The spelling of 117997937280 in words is "one hundred seventeen billion, nine hundred ninety-seven million, nine hundred thirty-seven thousand, two hundred eighty".