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12669419520 = 219335179
BaseRepresentation
bin10111100110010100…
…00000000000000000
31012200221202012022000
423303022000000000
5201421332411040
65453101344000
7625650201102
oct136312000000
935627665260
1012669419520
11541161444a
122556b68000
13126ba57954
148828b5572
154e2402130
hex2f3280000

12669419520 has 320 divisors, whose sum is σ = 45298440000. Its totient is φ = 3359637504.

The previous prime is 12669419479. The next prime is 12669419527. The reversal of 12669419520 is 2591496621.

12669419520 is a `hidden beast` number, since 1 + 26 + 6 + 94 + 19 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12669419527) 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, 70778791 + ... + 70778969.

It is an arithmetic number, because the mean of its divisors is an integer number (141557625).

Almost surely, 212669419520 is an apocalyptic number.

12669419520 is a gapful number since it is divisible by the number (10) 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 12669419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22649220000).

12669419520 is an abundant number, since it is smaller than the sum of its proper divisors (32629020480).

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

12669419520 is an frugal number, since it uses more digits than its factorization.

12669419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 12669419520 in words is "twelve billion, six hundred sixty-nine million, four hundred nineteen thousand, five hundred twenty".