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12577342204 = 22741108710079
BaseRepresentation
bin10111011011010101…
…10000001011111100
31012110112111011222001
423231222300023330
5201224244422304
65440012032044
7623451434110
oct135552601374
935415434861
1012577342204
115374644399
122530162624
13125595932b
14874587740
154d92b4da4
hex2edab02fc

12577342204 has 48 divisors (see below), whose sum is σ = 25794478080. Its totient is φ = 5253459840.

The previous prime is 12577342187. The next prime is 12577342231. The reversal of 12577342204 is 40224377521.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1242837 + ... + 1252915.

It is an arithmetic number, because the mean of its divisors is an integer number (537384960).

Almost surely, 212577342204 is an apocalyptic number.

12577342204 is a gapful number since it is divisible by the number (14) 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 12577342204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12897239040).

12577342204 is an abundant number, since it is smaller than the sum of its proper divisors (13217135876).

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

12577342204 is a wasteful number, since it uses less digits than its factorization.

12577342204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11218 (or 11216 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The spelling of 12577342204 in words is "twelve billion, five hundred seventy-seven million, three hundred forty-two thousand, two hundred four".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 1087 1148 2174 4348 7609 10079 15218 20158 30436 40316 44567 70553 89134 141106 178268 282212 311969 413239 623938 826478 1247876 1652956 2892673 5785346 10955873 11570692 21911746 43823492 76691111 153382222 306764444 449190793 898381586 1796763172 3144335551 6288671102 12577342204