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12718849024 = 21078919937
BaseRepresentation
bin10111101100001101…
…00011110000000000
31012211101202110211101
423312012203300000
5202022011132044
65502025024144
7630120301330
oct136606436000
935741673741
1012718849024
115437505582
12256b625054
13127907348b
148892a10c0
154e6917cd4
hex2f61a3c00

12718849024 has 88 divisors (see below), whose sum is σ = 29385421920. Its totient is φ = 5389418496.

The previous prime is 12718849021. The next prime is 12718849027. The reversal of 12718849024 is 42094881721.

It is an interprime number because it is at equal distance from previous prime (12718849021) and next prime (12718849027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12718849021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627984 + ... + 647920.

Almost surely, 212718849024 is an apocalyptic number.

12718849024 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 12718849024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14692710960).

12718849024 is an abundant number, since it is smaller than the sum of its proper divisors (16666572896).

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

12718849024 is an equidigital number, since it uses as much as digits as its factorization.

12718849024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20053 (or 20035 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 12718849024 in words is "twelve billion, seven hundred eighteen million, eight hundred forty-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 256 356 448 512 623 712 896 1024 1246 1424 1792 2492 2848 3584 4984 5696 7168 9968 11392 19936 19937 22784 39872 39874 45568 79744 79748 91136 139559 159488 159496 279118 318976 318992 558236 637952 637984 1116472 1275968 1774393 2232944 2551936 3548786 4465888 5103872 7097572 8931776 10207744 12420751 14195144 17863552 20415488 24841502 28390288 35727104 49683004 56780576 71454208 99366008 113561152 142908416 198732016 227122304 397464032 454244608 794928064 908489216 1589856128 1816978432 3179712256 6359424512 12718849024