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12924302328 = 233472491829
BaseRepresentation
bin11000000100101100…
…10011001111111000
31020100201100120210000
430002112103033320
5202432110133303
65534244353000
7635163520500
oct140226231770
936321316700
1012924302328
1155324826a3
1226083a5760
1312ac7b9992
148a86a2a00
1550999cda3
hex3025933f8

12924302328 has 240 divisors, whose sum is σ = 42246883800. Its totient is φ = 3680691840.

The previous prime is 12924302327. The next prime is 12924302387. The reversal of 12924302328 is 82320342921.

12924302328 is a `hidden beast` number, since 1 + 2 + 9 + 24 + 302 + 328 = 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 = 12924302292 and 12924302301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12924302323) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15589818 + ... + 15590646.

Almost surely, 212924302328 is an apocalyptic number.

12924302328 is a gapful number since it is divisible by the number (18) 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 12924302328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123441900).

12924302328 is an abundant number, since it is smaller than the sum of its proper divisors (29322581472).

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

12924302328 is a wasteful number, since it uses less digits than its factorization.

12924302328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1332 counting only the distinct ones).

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

The spelling of 12924302328 in words is "twelve billion, nine hundred twenty-four million, three hundred two thousand, three hundred twenty-eight".