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3024274924032 = 293292112331381
BaseRepresentation
bin101100000000100100110…
…101010010001000000000
3101201010011220211012000120
4230000210311102020000
5344022203340032112
610233155511220240
7431332231464255
oct54004465221000
911633156735016
103024274924032
11a6665139646a
1240a15b677680
1318c259a8738b
14a6538c5942c
1553a0593de8c
hex2c024d52200

3024274924032 has 320 divisors, whose sum is σ = 8416211506560. Its totient is φ = 963860889600.

The previous prime is 3024274924019. The next prime is 3024274924123. The reversal of 3024274924032 is 2304294724203.

It is a super-2 number, since 2×30242749240322 (a number of 26 digits) contains 22 as substring.

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, 2189915982 + ... + 2189917362.

It is an arithmetic number, because the mean of its divisors is an integer number (26300660958).

Almost surely, 23024274924032 is an apocalyptic number.

3024274924032 is a gapful number since it is divisible by the number (32) 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 3024274924032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208105753280).

3024274924032 is an abundant number, since it is smaller than the sum of its proper divisors (5391936582528).

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

3024274924032 is a wasteful number, since it uses less digits than its factorization.

3024274924032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 3024274924032 in words is "three trillion, twenty-four billion, two hundred seventy-four million, nine hundred twenty-four thousand, thirty-two".