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12645524024 = 2371930738713
BaseRepresentation
bin10111100011011101…
…10110001000111000
31012122021210011211122
423301232312020320
5201344223232044
65450445244412
7625240115660
oct136156661070
935567704748
1012645524024
1153aa083401
12254ab63708
131266b0c3c3
1487d6551a0
154e0281dee
hex2f1bb6238

12645524024 has 64 divisors (see below), whose sum is σ = 28617388800. Its totient is φ = 5117416704.

The previous prime is 12645523997. The next prime is 12645524033. The reversal of 12645524024 is 42042554621.

It is a super-2 number, since 2×126455240242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307292 + ... + 346004.

It is an arithmetic number, because the mean of its divisors is an integer number (447146700).

Almost surely, 212645524024 is an apocalyptic number.

12645524024 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 12645524024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14308694400).

12645524024 is an abundant number, since it is smaller than the sum of its proper divisors (15971864776).

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

12645524024 is a wasteful number, since it uses less digits than its factorization.

12645524024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39052 (or 39048 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 12645524024 in words is "twelve billion, six hundred forty-five million, five hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 307 532 614 1064 1228 2149 2456 4298 5833 8596 11666 17192 23332 38713 40831 46664 77426 81662 154852 163324 270991 309704 326648 541982 735547 1083964 1471094 2167928 2942188 5148829 5884376 10297658 11884891 20595316 23769782 41190632 47539564 83194237 95079128 166388474 225812929 332776948 451625858 665553896 903251716 1580690503 1806503432 3161381006 6322762012 12645524024