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18013711248 = 24321326173677
BaseRepresentation
bin10000110001101100…
…110110101110010000
31201111101222100022200
4100301230312232100
5243343002224443
612135252203200
71205253006411
oct206154665620
951441870280
1018013711248
1177042a7975
1235a8909500
131911021450
14c2c599808
157066b5dd3
hex431b36b90

18013711248 has 120 divisors (see below), whose sum is σ = 54326840568. Its totient is φ = 5539055616.

The previous prime is 18013711223. The next prime is 18013711271. The reversal of 18013711248 is 84211731081.

It can be written as a sum of positive squares in 4 ways, for example, as 6973586064 + 11040125184 = 83508^2 + 105072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4897186 + ... + 4900862.

Almost surely, 218013711248 is an apocalyptic number.

18013711248 is a gapful number since it is divisible by the number (18) 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 18013711248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27163420284).

18013711248 is an abundant number, since it is smaller than the sum of its proper divisors (36313129320).

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

18013711248 is a wasteful number, since it uses less digits than its factorization.

18013711248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6321 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 18013711248 in words is "eighteen billion, thirteen million, seven hundred eleven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2617 3677 5234 7354 7851 10468 11031 14708 15702 20936 22062 23553 29416 31404 33093 34021 41872 44124 47106 47801 58832 62808 66186 68042 88248 94212 95602 102063 125616 132372 136084 143403 176496 188424 191204 204126 264744 272168 286806 306189 376848 382408 408252 430209 529488 544336 573612 612378 764816 816504 860418 1147224 1224756 1633008 1720836 2294448 2449512 3441672 4899024 6883344 9622709 19245418 28868127 38490836 57736254 76981672 86604381 115472508 125095217 153963344 173208762 230945016 250190434 346417524 375285651 461890032 500380868 692835048 750571302 1000761736 1125856953 1385670096 1501142604 2001523472 2251713906 3002285208 4503427812 6004570416 9006855624 18013711248