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135323407376 = 2458189145349
BaseRepresentation
bin111111000000111100…
…1110101010000010000
3110221021220212100200222
41332001321311100100
54204120243014001
6142100002132212
712530303661323
oct1760171652020
9427256770628
10135323407376
1152432598963
1222287651068
13c9b7a38521
14679a4b47ba
1537c039e61b
hex1f81e75410

135323407376 has 20 divisors (see below), whose sum is σ = 262195411500. Its totient is φ = 67660075392.

The previous prime is 135323407369. The next prime is 135323407399. The reversal of 135323407376 is 673704323531.

It can be written as a sum of positive squares in 2 ways, for example, as 24939989776 + 110383417600 = 157924^2 + 332240^2 .

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 3 ways as a sum of consecutive naturals, for example, 858350 + ... + 1003698.

It is an arithmetic number, because the mean of its divisors is an integer number (13109770575).

Almost surely, 2135323407376 is an apocalyptic number.

135323407376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135323407376 is a deficient number, since it is larger than the sum of its proper divisors (126872004124).

135323407376 is a wasteful number, since it uses less digits than its factorization.

135323407376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203546 (or 203540 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 44.

The spelling of 135323407376 in words is "one hundred thirty-five billion, three hundred twenty-three million, four hundred seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 58189 116378 145349 232756 290698 465512 581396 931024 1162792 2325584 8457712961 16915425922 33830851844 67661703688 135323407376