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12991259456 = 26732920407
BaseRepresentation
bin11000001100101011…
…01110001101000000
31020112101100100200122
430012111232031000
5203101230300311
65545035435412
7636635612000
oct140625561500
936471310618
1012991259456
11556725556a
1226268b5b68
1312c0631496
148b3532000
155107c70db
hex30656e340

12991259456 has 112 divisors (see below), whose sum is σ = 31101792000. Its totient is φ = 5375430144.

The previous prime is 12991259419. The next prime is 12991259509. The reversal of 12991259456 is 65495219921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 12991259398 and 12991259407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626405 + ... + 646811.

Almost surely, 212991259456 is an apocalyptic number.

12991259456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12991259456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15550896000).

12991259456 is an abundant number, since it is smaller than the sum of its proper divisors (18110532544).

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

12991259456 is an equidigital number, since it uses as much as digits as its factorization.

12991259456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20469 (or 20445 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 53.

The spelling of 12991259456 in words is "twelve billion, nine hundred ninety-one million, two hundred fifty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 196 203 224 232 343 392 406 448 464 686 784 812 928 1372 1421 1568 1624 1856 2744 2842 3136 3248 5488 5684 6496 9947 10976 11368 12992 19894 20407 21952 22736 39788 40814 45472 79576 81628 90944 142849 159152 163256 285698 318304 326512 571396 591803 636608 653024 999943 1142792 1183606 1306048 1999886 2285584 2367212 3999772 4142621 4571168 4734424 6999601 7999544 8285242 9142336 9468848 13999202 15999088 16570484 18937696 27998404 28998347 31998176 33140968 37875392 55996808 57996694 63996352 66281936 111993616 115993388 132563872 202988429 223987232 231986776 265127744 405976858 447974464 463973552 811953716 927947104 1623907432 1855894208 3247814864 6495629728 12991259456