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12781831783368 = 233372979139733
BaseRepresentation
bin1011101000000000000010…
…0010110000001111001000
31200020221010211111210220210
42322000000202300033020
53133404142414031433
643103520434321120
72456312464351644
oct272000042601710
950227124453823
1012781831783368
11408882090252a
1215252557291a0
1371942462c2cb
14322903049c24
151727411cc463
hexba0008b03c8

12781831783368 has 96 divisors (see below), whose sum is σ = 32845739189760. Its totient is φ = 4144931239680.

The previous prime is 12781831783327. The next prime is 12781831783403. The reversal of 12781831783368 is 86338713818721.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12781831783299 and 12781831783308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321673230 + ... + 321712962.

It is an arithmetic number, because the mean of its divisors is an integer number (342143116560).

Almost surely, 212781831783368 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 12781831783368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422869594880).

12781831783368 is an abundant number, since it is smaller than the sum of its proper divisors (20063907406392).

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

12781831783368 is a wasteful number, since it uses less digits than its factorization.

12781831783368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49607 (or 49566 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 66.

The spelling of 12781831783368 in words is "twelve trillion, seven hundred eighty-one billion, eight hundred thirty-one million, seven hundred eighty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1369 2738 4107 5476 8214 9791 10952 16428 19582 29373 32856 39164 39733 58746 78328 79466 117492 119199 158932 234984 238398 317864 362267 476796 724534 953592 1086801 1449068 1470121 2173602 2898136 2940242 4347204 4410363 5880484 8694408 8820726 11760968 13403879 17641452 26807758 35282904 40211637 53615516 54394477 80423274 107231032 108788954 160846548 163183431 217577908 321693096 326366862 389025803 435155816 652733724 778051606 1167077409 1305467448 1556103212 2334154818 3112206424 4668309636 9336619272 14393954711 28787909422 43181864133 57575818844 86363728266 115151637688 172727456532 345454913064 532576324307 1065152648614 1597728972921 2130305297228 3195457945842 4260610594456 6390915891684 12781831783368