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12270236576 = 251354312
BaseRepresentation
bin10110110110101110…
…01111001110100000
31011200010121121020112
423123113033032200
5200112140032301
65345321430452
7613032201323
oct133327171640
934603547215
1012270236576
115227257394
12246533b428
131207141220
148458847ba
154bc3509bb
hex2db5cf3a0

12270236576 has 36 divisors (see below), whose sum is σ = 26020052226. Its totient is φ = 5662143360.

The previous prime is 12270236521. The next prime is 12270236623. The reversal of 12270236576 is 67563207221.

It can be written as a sum of positive squares in only one way, i.e., 11798304400 + 471932176 = 108620^2 + 21724^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2256581 + ... + 2262011.

Almost surely, 212270236576 is an apocalyptic number.

12270236576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12270236576 is an abundant number, since it is smaller than the sum of its proper divisors (13749815650).

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

12270236576 is an frugal number, since it uses more digits than its factorization.

12270236576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10885 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 12270236576 in words is "twelve billion, two hundred seventy million, two hundred thirty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 5431 10862 21724 43448 70603 86896 141206 173792 282412 564824 1129648 2259296 29495761 58991522 117983044 235966088 383444893 471932176 766889786 943864352 1533779572 3067559144 6135118288 12270236576