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18247137312 = 2531938925717
BaseRepresentation
bin10000111111100111…
…010011100000100000
31202002200012121200110
4100333213103200200
5244332231343222
612214351251320
71214116052025
oct207747234040
952080177613
1018247137312
117814040378
123652b19b40
13194a4acc91
14c5159d54c
1571be2430c
hex43f9d3820

18247137312 has 96 divisors (see below), whose sum is σ = 50551300800. Its totient is φ = 5747217408.

The previous prime is 18247137263. The next prime is 18247137313. The reversal of 18247137312 is 21373174281.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (18247137313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696678 + ... + 722394.

It is an arithmetic number, because the mean of its divisors is an integer number (526576050).

Almost surely, 218247137312 is an apocalyptic number.

18247137312 is a gapful number since it is divisible by the number (12) 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 18247137312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25275650400).

18247137312 is an abundant number, since it is smaller than the sum of its proper divisors (32304163488).

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

18247137312 is a wasteful number, since it uses less digits than its factorization.

18247137312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26138 (or 26130 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The spelling of 18247137312 in words is "eighteen billion, two hundred forty-seven million, one hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 389 456 608 778 912 1167 1556 1824 2334 3112 4668 6224 7391 9336 12448 14782 18672 22173 25717 29564 37344 44346 51434 59128 77151 88692 102868 118256 154302 177384 205736 236512 308604 354768 411472 488623 617208 709536 822944 977246 1234416 1465869 1954492 2468832 2931738 3908984 5863476 7817968 10003913 11726952 15635936 20007826 23453904 30011739 40015652 46907808 60023478 80031304 120046956 160062608 190074347 240093912 320125216 380148694 480187824 570223041 760297388 960375648 1140446082 1520594776 2280892164 3041189552 4561784328 6082379104 9123568656 18247137312