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12841067136 = 273214115619
BaseRepresentation
bin10111111010110001…
…10010001010000000
31020010220201210120010
423331120302022000
5202244303122021
65522112344520
7633133161342
oct137530621200
936126653503
1012841067136
11549a4a1887
1225a4545140
131298495ba1
1489b5d7292
1550250a976
hex2fd632280

12841067136 has 64 divisors (see below), whose sum is σ = 34127200800. Its totient is φ = 4278082560.

The previous prime is 12841067089. The next prime is 12841067143. The reversal of 12841067136 is 63176014821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12841067094 and 12841067103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 814335 + ... + 829953.

Almost surely, 212841067136 is an apocalyptic number.

12841067136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12841067136 is an abundant number, since it is smaller than the sum of its proper divisors (21286133664).

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

12841067136 is a wasteful number, since it uses less digits than its factorization.

12841067136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17777 (or 17765 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 12841067136 in words is "twelve billion, eight hundred forty-one million, sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2141 4282 6423 8564 12846 15619 17128 25692 31238 34256 46857 51384 62476 68512 93714 102768 124952 137024 187428 205536 249904 274048 374856 411072 499808 749712 822144 999616 1499424 1999232 2998848 5997696 33440279 66880558 100320837 133761116 200641674 267522232 401283348 535044464 802566696 1070088928 1605133392 2140177856 3210266784 4280355712 6420533568 12841067136