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12941832024 = 233611673011
BaseRepresentation
bin11000000110110010…
…01010111101011000
31020101221100012000000
430003121022331120
5203001102111044
65540112213000
7635465520462
oct140331127530
936357305000
1012941832024
115541365a50
12261223a160
1312b3316894
148aab47132
1550b2b1d69
hex30364af58

12941832024 has 224 divisors, whose sum is σ = 40295499840. Its totient is φ = 3861950400.

The previous prime is 12941832019. The next prime is 12941832037. The reversal of 12941832024 is 42023814921.

It is a super-2 number, since 2×129418320242 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12941832024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4296679 + ... + 4299689.

Almost surely, 212941832024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12941832024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20147749920).

12941832024 is an abundant number, since it is smaller than the sum of its proper divisors (27353667816).

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

12941832024 is a wasteful number, since it uses less digits than its factorization.

12941832024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12941832024 in words is "twelve billion, nine hundred forty-one million, eight hundred thirty-two thousand, twenty-four".