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115564213896768 = 263272131729798087
BaseRepresentation
bin11010010001101011100011…
…111010110000011001000000
3120011011211102202122120011200
4122101223203322300121000
5110121401002224144033
61045441244510141200
733225144644336400
oct3221534372603100
9504154382576150
10115564213896768
1133905564aa021a
1210b651514b1800
134c63873c737c0
1420774a2cb2800
15d561551e2013
hex691ae3eb0640

115564213896768 has 2016 divisors, whose sum is σ = 460335909196800. Its totient is φ = 27342493581312.

The previous prime is 115564213896749. The next prime is 115564213896823. The reversal of 115564213896768 is 867698312465511.

115564213896768 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 6 + 421 + 3 + 89 + 67 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1155642138967682 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 115564213896696 and 115564213896705.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14290117621 + ... + 14290125707.

It is an arithmetic number, because the mean of its divisors is an integer number (228341224800).

Almost surely, 2115564213896768 is an apocalyptic number.

115564213896768 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 115564213896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230167954598400).

115564213896768 is an abundant number, since it is smaller than the sum of its proper divisors (344771695300032).

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

115564213896768 is a wasteful number, since it uses less digits than its factorization.

115564213896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8237 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 115564213896768 in words is "one hundred fifteen trillion, five hundred sixty-four billion, two hundred thirteen million, eight hundred ninety-six thousand, seven hundred sixty-eight".