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12045999389424 = 2437111332364499
BaseRepresentation
bin1010111101001010110110…
…0000111011101011110000
31120122120211102001012102020
42233102231200323223300
53034330201320430144
641341504500351440
72352203044246410
oct257225540735360
946576742035366
1012045999389424
113924752686a20
1214267189a5580
13694c18686000
142d905ac7a640
1515d52646e419
hexaf4ad83baf0

12045999389424 has 640 divisors, whose sum is σ = 43857192960000. Its totient is φ = 2762537057280.

The previous prime is 12045999389419. The next prime is 12045999389453. The reversal of 12045999389424 is 42498399954021.

It is a super-2 number, since 2×120459993894242 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186730327 + ... + 186794825.

It is an arithmetic number, because the mean of its divisors is an integer number (68526864000).

Almost surely, 212045999389424 is an apocalyptic number.

12045999389424 is a gapful number since it is divisible by the number (14) 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 12045999389424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21928596480000).

12045999389424 is an abundant number, since it is smaller than the sum of its proper divisors (31811193570576).

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

12045999389424 is a wasteful number, since it uses less digits than its factorization.

12045999389424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64590 (or 64558 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 69.

The spelling of 12045999389424 in words is "twelve trillion, forty-five billion, nine hundred ninety-nine million, three hundred eighty-nine thousand, four hundred twenty-four".