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12324372480 = 2163357199
BaseRepresentation
bin10110111101001011…
…10000000000000000
31011210220110222202000
423132211300000000
5200220014404410
65354534024000
7614260303050
oct133645600000
934726428660
1012324372480
115254872502
12247b4a8000
131215416cc4
1484cb37560
154c1e95dc0
hex2de970000

12324372480 has 544 divisors, whose sum is σ = 50331264000. Its totient is φ = 2802843648.

The previous prime is 12324372427. The next prime is 12324372499. The reversal of 12324372480 is 8427342321.

It is a happy number.

12324372480 is a `hidden beast` number, since 123 + 2 + 437 + 24 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61931421 + ... + 61931619.

Almost surely, 212324372480 is an apocalyptic number.

12324372480 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 12324372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25165632000).

12324372480 is an abundant number, since it is smaller than the sum of its proper divisors (38006891520).

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

12324372480 is an frugal number, since it uses more digits than its factorization.

12324372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 12324372480 in words is "twelve billion, three hundred twenty-four million, three hundred seventy-two thousand, four hundred eighty".