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815116014 = 23315094741
BaseRepresentation
bin110000100101011…
…010111011101110
32002210210011222000
4300211122323232
53132132203024
6212514433130
726125241346
oct6045327356
92083704860
10815116014
113891257a9
121a8b927a6
13ccb4628b
147a381d26
154b860cc9
hex3095aeee

815116014 has 16 divisors (see below), whose sum is σ = 1811369040. Its totient is φ = 271705320.

The previous prime is 815115967. The next prime is 815116019. The reversal of 815116014 is 410611518.

815116014 is a `hidden beast` number, since 8 + 1 + 51 + 1 + 601 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815116019) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7547317 + ... + 7547424.

It is an arithmetic number, because the mean of its divisors is an integer number (113210565).

Almost surely, 2815116014 is an apocalyptic number.

815116014 is an abundant number, since it is smaller than the sum of its proper divisors (996253026).

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

815116014 is a wasteful number, since it uses less digits than its factorization.

815116014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15094752 (or 15094746 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 815116014 is about 28550.2366715234. The cubic root of 815116014 is about 934.1281831265.

The spelling of 815116014 in words is "eight hundred fifteen million, one hundred sixteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 15094741 30189482 45284223 90568446 135852669 271705338 407558007 815116014