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115252672014 = 234171943181283
BaseRepresentation
bin110101101010110011…
…0000011011000001110
3102000111011020100210000
41223111212003120032
53342014141001024
6124540224425130
711220032356014
oct1532546033016
9360434210700
10115252672014
1144973146367
121a405a781a6
13ab397c545c
145814a588b4
152ee830ecc9
hex1ad598360e

115252672014 has 320 divisors, whose sum is σ = 297201864960. Its totient is φ = 33155619840.

The previous prime is 115252671949. The next prime is 115252672019. The reversal of 115252672014 is 410276252511.

115252672014 is a `hidden beast` number, since 1 + 1 + 52 + 526 + 72 + 0 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 115252672014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115252672019) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 407253117 + ... + 407253399.

It is an arithmetic number, because the mean of its divisors is an integer number (928755828).

Almost surely, 2115252672014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115252672014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148600932480).

115252672014 is an abundant number, since it is smaller than the sum of its proper divisors (181949192946).

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

115252672014 is a wasteful number, since it uses less digits than its factorization.

115252672014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 115252672014 in words is "one hundred fifteen billion, two hundred fifty-two million, six hundred seventy-two thousand, fourteen".