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12257091704 = 23111333731793
BaseRepresentation
bin10110110101001010…
…00110000001111000
31011122012212202212102
423122211012001320
5200100303413304
65344132002532
7612512363144
oct133245060170
934565782772
1012257091704
11521a899460
122460a60448
1312044bb0b0
14843c22224
154bb105d1e
hex2da946078

12257091704 has 64 divisors (see below), whose sum is σ = 27080857440. Its totient is φ = 5127413760.

The previous prime is 12257091701. The next prime is 12257091709. The reversal of 12257091704 is 40719075221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12257091701) 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, 369632 + ... + 401424.

Almost surely, 212257091704 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 12257091704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540428720).

12257091704 is an abundant number, since it is smaller than the sum of its proper divisors (14823765736).

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

12257091704 is a wasteful number, since it uses less digits than its factorization.

12257091704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32160 (or 32156 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 12257091704 in words is "twelve billion, two hundred fifty-seven million, ninety-one thousand, seven hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 337 572 674 1144 1348 2696 3707 4381 7414 8762 14828 17524 29656 31793 35048 48191 63586 96382 127172 192764 254344 349723 385528 413309 699446 826618 1398892 1653236 2797784 3306472 4546399 9092798 10714241 18185596 21428482 36371192 42856964 85713928 117856651 139285133 235713302 278570266 471426604 557140532 942853208 1114281064 1532136463 3064272926 6128545852 12257091704