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12661545204 = 223271119311773
BaseRepresentation
bin10111100101010111…
…11101100011110100
31012200101221010202200
423302223331203310
5201412323421304
65452220504500
7625523233650
oct136253754364
935611833680
1012661545204
115408126350
1225543ab130
13126a22b7a9
14881825a60
154e1898e39
hex2f2afd8f4

12661545204 has 288 divisors, whose sum is σ = 42192783360. Its totient is φ = 3101587200.

The previous prime is 12661545179. The next prime is 12661545269. The reversal of 12661545204 is 40254516621.

12661545204 is a `hidden beast` number, since 1 + 26 + 61 + 54 + 520 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16379362 + ... + 16380134.

It is an arithmetic number, because the mean of its divisors is an integer number (146502720).

Almost surely, 212661545204 is an apocalyptic number.

12661545204 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 12661545204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21096391680).

12661545204 is an abundant number, since it is smaller than the sum of its proper divisors (29531238156).

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

12661545204 is a wasteful number, since it uses less digits than its factorization.

12661545204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12661545204 in words is "twelve billion, six hundred sixty-one million, five hundred forty-five thousand, two hundred four".