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113842534373568 = 263673111349747
BaseRepresentation
bin11001111000101000000111…
…110100100101100011000000
3112221002020110221212212000000
4121320220013310211203000
5104410144002244423233
61042042312135000000
732656565062011000
oct3170500764454300
9487066427785000
10113842534373568
1133301390870010
1210927542509000
134b6a3c6c062c0
1420180181a8000
15d2648b49ad13
hex678a07d258c0

113842534373568 has 1568 divisors, whose sum is σ = 464054279001600. Its totient is φ = 27294364661760.

The previous prime is 113842534373551. The next prime is 113842534373639. The reversal of 113842534373568 is 865373435248311.

113842534373568 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 4 + 2 + 5 + 34 + 37 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1568).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2288405271 + ... + 2288455017.

Almost surely, 2113842534373568 is an apocalyptic number.

113842534373568 is a gapful number since it is divisible by the number (18) 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 113842534373568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232027139500800).

113842534373568 is an abundant number, since it is smaller than the sum of its proper divisors (350211744628032).

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

113842534373568 is an equidigital number, since it uses as much as digits as its factorization.

113842534373568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49822 (or 49783 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 113842534373568 in words is "one hundred thirteen trillion, eight hundred forty-two billion, five hundred thirty-four million, three hundred seventy-three thousand, five hundred sixty-eight".