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12474224640 = 212335171327
BaseRepresentation
bin10111001111000010…
…11001000000000000
31012012100110021021000
423213201121000000
5201021400142030
65421445532000
7621060105603
oct134741310000
935170407230
1012474224640
115321413669
122501714000
13123a493817
148649c433a
154d01e6860
hex2e7859000

12474224640 has 416 divisors, whose sum is σ = 46991439360. Its totient is φ = 3128426496.

The previous prime is 12474224627. The next prime is 12474224647. The reversal of 12474224640 is 4642247421.

12474224640 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 4 + 2 + 2 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12474224595 and 12474224604.

It is not an unprimeable number, because it can be changed into a prime (12474224647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9399657 + ... + 9400983.

Almost surely, 212474224640 is an apocalyptic number.

12474224640 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 12474224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23495719680).

12474224640 is an abundant number, since it is smaller than the sum of its proper divisors (34517214720).

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

12474224640 is a wasteful number, since it uses less digits than its factorization.

12474224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 12474224640 in words is "twelve billion, four hundred seventy-four million, two hundred twenty-four thousand, six hundred forty".