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12479930496 = 273411731499
BaseRepresentation
bin10111001111101110…
…01010000010000000
31012012202012011020000
423213313022002000
5201024330233441
65422212120000
7621156442005
oct134767120200
935182164200
1012479930496
115324660550
122503606000
13123b710977
1486566b8ac
154d09722b6
hex2e7dca080

12479930496 has 320 divisors, whose sum is σ = 41098860000. Its totient is φ = 3727503360.

The previous prime is 12479930459. The next prime is 12479930521. The reversal of 12479930496 is 69403997421.

12479930496 is a `hidden beast` number, since 1 + 247 + 9 + 9 + 304 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8324755 + ... + 8326253.

Almost surely, 212479930496 is an apocalyptic number.

12479930496 is a gapful number since it is divisible by the number (16) 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 12479930496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20549430000).

12479930496 is an abundant number, since it is smaller than the sum of its proper divisors (28618929504).

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

12479930496 is a wasteful number, since it uses less digits than its factorization.

12479930496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 12479930496 in words is "twelve billion, four hundred seventy-nine million, nine hundred thirty thousand, four hundred ninety-six".