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115115216040 = 233351150919037
BaseRepresentation
bin110101100110101100…
…1101100110010101000
3102000010120120212122000
41223031121230302220
53341223443403130
6124514434331000
711213443122516
oct1531531546250
9360116525560
10115115216040
11449025a1690
121a387a29a60
13ab17199066
1458006b74b6
152edb20c260
hex1acd66cca8

115115216040 has 256 divisors, whose sum is σ = 419445216000. Its totient is φ = 27850429440.

The previous prime is 115115216011. The next prime is 115115216093. The reversal of 115115216040 is 40612511511.

115115216040 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 1 + 52 + 1 + 604 + 0 = 666.

It is a super-3 number, since 3×1151152160403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 115115215995 and 115115216013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6037402 + ... + 6056438.

It is an arithmetic number, because the mean of its divisors is an integer number (1638457875).

Almost surely, 2115115216040 is an apocalyptic number.

115115216040 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 115115216040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209722608000).

115115216040 is an abundant number, since it is smaller than the sum of its proper divisors (304329999960).

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

115115216040 is a wasteful number, since it uses less digits than its factorization.

115115216040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19577 (or 19567 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 115115216040 its reverse (40612511511), we get a palindrome (155727727551).

The spelling of 115115216040 in words is "one hundred fifteen billion, one hundred fifteen million, two hundred sixteen thousand, forty".