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12074887760 = 2451332329103
BaseRepresentation
bin10110011111011100…
…00010101001010000
31011011112000212001012
423033232002221100
5144212132402020
65314102430052
7605140565255
oct131756025120
934145025035
1012074887760
115136a60991
12240ba32328
1311a5825000
1482795342c
154aa1147c5
hex2cfb82a50

12074887760 has 320 divisors, whose sum is σ = 33147878400. Its totient is φ = 4077545472.

The previous prime is 12074887757. The next prime is 12074887807. The reversal of 12074887760 is 6778847021.

It is a junction number, because it is equal to n+sod(n) for n = 12074887699 and 12074887708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117231869 + ... + 117231971.

It is an arithmetic number, because the mean of its divisors is an integer number (103587120).

Almost surely, 212074887760 is an apocalyptic number.

12074887760 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 12074887760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16573939200).

12074887760 is an abundant number, since it is smaller than the sum of its proper divisors (21072990640).

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

12074887760 is a wasteful number, since it uses less digits than its factorization.

12074887760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 50.

The spelling of 12074887760 in words is "twelve billion, seventy-four million, eight hundred eighty-seven thousand, seven hundred sixty".