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12460913640 = 23395721719
BaseRepresentation
bin10111001101011101…
…00111001111101000
31012011102102000000000
423212232213033220
5201004443214030
65420252343000
7620536006200
oct134656471750
935142360000
1012460913640
11531495193a
1224b9174a60
1312377b2ba6
14862d1b400
154cde67860
hex2e6ba73e8

12460913640 has 960 divisors, whose sum is σ = 54524923200. Its totient is φ = 2539579392.

The previous prime is 12460913629. The next prime is 12460913701. The reversal of 12460913640 is 4631906421.

12460913640 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 0 + 9 + 1 + 3 + 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 = 12460913595 and 12460913604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 655837551 + ... + 655837569.

It is an arithmetic number, because the mean of its divisors is an integer number (56796795).

Almost surely, 212460913640 is an apocalyptic number.

12460913640 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 12460913640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27262461600).

12460913640 is an abundant number, since it is smaller than the sum of its proper divisors (42064009560).

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

12460913640 is an equidigital number, since it uses as much as digits as its factorization.

12460913640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12460913640 in words is "twelve billion, four hundred sixty million, nine hundred thirteen thousand, six hundred forty".