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115079004264 = 233717233121823
BaseRepresentation
bin110101100101100111…
…1100100000001101000
3102000001001110010102010
41223023033210001220
53341140211114024
6124511102235520
711212523253030
oct1531317440150
9360031403363
10115079004264
11448941091a4
121a377885ba0
13ab0c82a883
1457d996c8c0
152ed7e57b29
hex1acb3e4068

115079004264 has 384 divisors, whose sum is σ = 375577067520. Its totient is φ = 28629596160.

The previous prime is 115079004217. The next prime is 115079004401. The reversal of 115079004264 is 462400970511.

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 95 ways as a sum of consecutive naturals, for example, 63125257 + ... + 63127079.

It is an arithmetic number, because the mean of its divisors is an integer number (978065280).

Almost surely, 2115079004264 is an apocalyptic number.

115079004264 is a gapful number since it is divisible by the number (14) 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 115079004264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187788533760).

115079004264 is an abundant number, since it is smaller than the sum of its proper divisors (260498063256).

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

115079004264 is a wasteful number, since it uses less digits than its factorization.

115079004264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

Adding to 115079004264 its reverse (462400970511), we get a palindrome (577479974775).

The spelling of 115079004264 in words is "one hundred fifteen billion, seventy-nine million, four thousand, two hundred sixty-four".