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12824107373 = 7211313891973
BaseRepresentation
bin10111111000110000…
…00101100101101101
31020002201211011010202
423330120011211231
5202230432413443
65520305043245
7632536054100
oct137430054555
936081734122
1012824107373
115490968750
12259a926525
131294b0851c
14899260737
15500caa7b8
hex2fc60596d

12824107373 has 48 divisors (see below), whose sum is σ = 16850695680. Its totient is φ = 9640713600.

The previous prime is 12824107363. The next prime is 12824107379. The reversal of 12824107373 is 37370142821.

It is not a de Polignac number, because 12824107373 - 212 = 12824103277 is a prime.

It is a super-2 number, since 2×128241073732 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12824107379) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6498815 + ... + 6500787.

It is an arithmetic number, because the mean of its divisors is an integer number (351056160).

Almost surely, 212824107373 is an apocalyptic number.

It is an amenable number.

12824107373 is a deficient number, since it is larger than the sum of its proper divisors (4026588307).

12824107373 is a wasteful number, since it uses less digits than its factorization.

12824107373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 12824107373 in words is "twelve billion, eight hundred twenty-four million, one hundred seven thousand, three hundred seventy-three".

Divisors: 1 7 11 31 49 77 217 341 389 539 1519 1973 2387 2723 4279 12059 13811 16709 19061 21703 29953 61163 84413 96677 132649 151921 209671 428141 590891 672793 767497 928543 1063447 2996987 4709551 5372479 6499801 8442467 23792407 32966857 37607353 59097269 166546849 261716477 413680883 1165827943 1832015339 12824107373