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10413515016 = 2332144632153
BaseRepresentation
bin10011011001011000…
…11010000100001000
3222212201212101002100
421230230122010020
5132311324440031
64441153433400
7516025263042
oct115454320410
928781771070
1010413515016
114464180a63
12202756b860
13c9c581508
1470b044a92
1540e340de6
hex26cb1a108

10413515016 has 24 divisors (see below), whose sum is σ = 28203270030. Its totient is φ = 3471171648.

The previous prime is 10413514973. The next prime is 10413515023. The reversal of 10413515016 is 61051531401.

10413515016 is a `hidden beast` number, since 104 + 1 + 3 + 51 + 501 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10397880900 + 15634116 = 101970^2 + 3954^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72316005 + ... + 72316148.

Almost surely, 210413515016 is an apocalyptic number.

It is an amenable number.

10413515016 is an abundant number, since it is smaller than the sum of its proper divisors (17789755014).

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

10413515016 is a wasteful number, since it uses less digits than its factorization.

10413515016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144632165 (or 144632158 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10413515016 in words is "ten billion, four hundred thirteen million, five hundred fifteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 144632153 289264306 433896459 578528612 867792918 1157057224 1301689377 1735585836 2603378754 3471171672 5206757508 10413515016