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12499142656 = 211721113267
BaseRepresentation
bin10111010010000000…
…11100100000000000
31012021002100020100111
423221000130200000
5201044240031111
65424140001104
7621511650100
oct135100344000
935232306314
1012499142656
115334492970
122509b30194
1312426a9600
1486802d200
154d24b9a21
hex2e901c800

12499142656 has 432 divisors, whose sum is σ = 34855395120. Its totient is φ = 4428103680.

The previous prime is 12499142639. The next prime is 12499142683. The reversal of 12499142656 is 65624199421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186554335 + ... + 186554401.

It is an arithmetic number, because the mean of its divisors is an integer number (80683785).

Almost surely, 212499142656 is an apocalyptic number.

12499142656 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 12499142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427697560).

12499142656 is an abundant number, since it is smaller than the sum of its proper divisors (22356252464).

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

12499142656 is a wasteful number, since it uses less digits than its factorization.

12499142656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 100 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The spelling of 12499142656 in words is "twelve billion, four hundred ninety-nine million, one hundred forty-two thousand, six hundred fifty-six".