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10413478673 = 132173624601
BaseRepresentation
bin10011011001011000…
…10001001100010001
3222212201210112020022
421230230101030101
5132311322304143
64441152553225
7516025052063
oct115454211421
928781715208
1010413478673
114464156724
122027552815
13c9c56ab00
1470b035733
1540e335268
hex26cb11311

10413478673 has 12 divisors (see below), whose sum is σ = 11939438988. Its totient is φ = 9047001600.

The previous prime is 10413478661. The next prime is 10413478703. The reversal of 10413478673 is 37687431401.

10413478673 = T9597 + T9598 + ... + T9817.

It can be written as a sum of positive squares in 6 ways, for example, as 1716610624 + 8696868049 = 41432^2 + 93257^2 .

It is not a de Polignac number, because 10413478673 - 24 = 10413478657 is a prime.

It is a super-3 number, since 3×104134786733 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10413408673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1809428 + ... + 1815173.

It is an arithmetic number, because the mean of its divisors is an integer number (994953249).

Almost surely, 210413478673 is an apocalyptic number.

10413478673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10413478673 is a deficient number, since it is larger than the sum of its proper divisors (1525960315).

10413478673 is a wasteful number, since it uses less digits than its factorization.

10413478673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624644 (or 3624631 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 10413478673 in words is "ten billion, four hundred thirteen million, four hundred seventy-eight thousand, six hundred seventy-three".

Divisors: 1 13 17 169 221 2873 3624601 47119813 61618217 612557569 801036821 10413478673