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12492421632 = 29328389367
BaseRepresentation
bin10111010001001101…
…10011101000000000
31012020121200202211200
423220212303220000
5201041024443012
65423335541200
7621400555215
oct135046635000
935217622750
1012492421632
1153307122a9
12250782a800
131241195382
1486719db0c
154d1add3dc
hex2e89b3a00

12492421632 has 240 divisors, whose sum is σ = 36998881920. Its totient is φ = 4056662016.

The previous prime is 12492421609. The next prime is 12492421649. The reversal of 12492421632 is 23612429421.

It is a happy number.

12492421632 is a `hidden beast` number, since 1 + 2 + 492 + 4 + 2 + 163 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 34039113 + ... + 34039479.

It is an arithmetic number, because the mean of its divisors is an integer number (154162008).

Almost surely, 212492421632 is an apocalyptic number.

12492421632 is a gapful number since it is divisible by the number (12) 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 12492421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18499440960).

12492421632 is an abundant number, since it is smaller than the sum of its proper divisors (24506460288).

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

12492421632 is an equidigital number, since it uses as much as digits as its factorization.

12492421632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 544 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 12492421632 in words is "twelve billion, four hundred ninety-two million, four hundred twenty-one thousand, six hundred thirty-two".