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12494275776 = 2632672631231
BaseRepresentation
bin10111010001011011…
…11000010011000000
31012020202011222020200
423220231320103000
5201042013311101
65423443405200
7621422406663
oct135055702300
935222158220
1012494275776
115331769354
122508383800
1312416942b8
148675236da
154d1d57986
hex2e8b784c0

12494275776 has 168 divisors, whose sum is σ = 36514942464. Its totient is φ = 4083678720.

The previous prime is 12494275687. The next prime is 12494275793. The reversal of 12494275776 is 67757249421.

12494275776 is a `hidden beast` number, since 1 + 2 + 49 + 4 + 27 + 577 + 6 = 666.

It is a super-2 number, since 2×124942757762 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10149081 + ... + 10150311.

It is an arithmetic number, because the mean of its divisors is an integer number (217350848).

Almost surely, 212494275776 is an apocalyptic number.

12494275776 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 12494275776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18257471232).

12494275776 is an abundant number, since it is smaller than the sum of its proper divisors (24020666688).

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

12494275776 is a wasteful number, since it uses less digits than its factorization.

12494275776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1566 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 12494275776 in words is "twelve billion, four hundred ninety-four million, two hundred seventy-five thousand, seven hundred seventy-six".