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1349322686424 = 233319328782331
BaseRepresentation
bin10011101000101001111…
…001100011111111011000
311202222211121200112022000
4103220221321203333120
5134101403101431144
62511511552001000
7166325321411106
oct23505171437730
94688747615260
101349322686424
11480276530559
12199611530160
139a31873bbab
1449443d68c76
15251740c9769
hex13a29e63fd8

1349322686424 has 64 divisors (see below), whose sum is σ = 3945387984000. Its totient is φ = 426101899680.

The previous prime is 1349322686407. The next prime is 1349322686483. The reversal of 1349322686424 is 4246862239431.

1349322686424 is a `hidden beast` number, since 1 + 34 + 93 + 2 + 26 + 86 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164387062 + ... + 164395269.

It is an arithmetic number, because the mean of its divisors is an integer number (61646687250).

Almost surely, 21349322686424 is an apocalyptic number.

It is an amenable number.

1349322686424 is an abundant number, since it is smaller than the sum of its proper divisors (2596065297576).

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

1349322686424 is a wasteful number, since it uses less digits than its factorization.

1349322686424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328782365 (or 328782355 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 1349322686424 in words is "one trillion, three hundred forty-nine billion, three hundred twenty-two million, six hundred eighty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 328782331 657564662 986346993 1315129324 1972693986 2630258648 2959040979 3945387972 5918081958 6246864289 7890775944 8877122937 11836163916 12493728578 17754245874 18740592867 23672327832 24987457156 35508491748 37481185734 49974914312 56221778601 71016983496 74962371468 112443557202 149924742936 168665335803 224887114404 337330671606 449774228808 674661343212 1349322686424