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12671329488 = 2437325714071
BaseRepresentation
bin10111100110100010…
…10010010011010000
31012201002100020021120
423303101102103100
5201422330020423
65453210322240
7626002344366
oct136321222320
935632306246
1012671329488
1154126a9434
122557729380
13126c2760cc
14882c51636
154e267cee3
hex2f34524d0

12671329488 has 80 divisors (see below), whose sum is σ = 33314165376. Its totient is φ = 4149411840.

The previous prime is 12671329481. The next prime is 12671329529. The reversal of 12671329488 is 88492317621.

It is a happy number.

It is a Cunningham number, because it is equal to 1125672-1.

It is a self number, because there is not a number n which added to its sum of digits gives 12671329488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12671329481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893493 + ... + 907563.

Almost surely, 212671329488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12671329488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16657082688).

12671329488 is an abundant number, since it is smaller than the sum of its proper divisors (20642835888).

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

12671329488 is a wasteful number, since it uses less digits than its factorization.

12671329488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14412 (or 14406 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 12671329488 in words is "twelve billion, six hundred seventy-one million, three hundred twenty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 257 292 438 514 584 771 876 1028 1168 1542 1752 2056 3084 3504 4112 6168 12336 14071 18761 28142 37522 42213 56283 56284 75044 84426 112566 112568 150088 168852 225132 225136 300176 337704 450264 675408 900528 1027183 2054366 3081549 3616247 4108732 6163098 7232494 8217464 10848741 12326196 14464988 16434928 21697482 24652392 28929976 43394964 49304784 57859952 86789928 173579856 263986031 527972062 791958093 1055944124 1583916186 2111888248 3167832372 4223776496 6335664744 12671329488