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18368127680 = 265743190699
BaseRepresentation
bin10001000110110100…
…110110001011000000
31202102002212120021012
4101012310312023000
5300104220041210
612234352420052
71220115336440
oct210664661300
952362776235
1018368127680
117876369211
123687547628
131969592906
14c63696120
15727873305
hex446d362c0

18368127680 has 112 divisors (see below), whose sum is σ = 51150316800. Its totient is φ = 6151154688.

The previous prime is 18368127643. The next prime is 18368127709. The reversal of 18368127680 is 8672186381.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×183681276802 (a number of 21 digits) contains 22 as substring.

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, 971 + ... + 191669.

Almost surely, 218368127680 is an apocalyptic number.

18368127680 is a gapful number since it is divisible by the number (10) 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 18368127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25575158400).

18368127680 is an abundant number, since it is smaller than the sum of its proper divisors (32782189120).

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

18368127680 is a wasteful number, since it uses less digits than its factorization.

18368127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190766 (or 190756 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 18368127680 in words is "eighteen billion, three hundred sixty-eight million, one hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 140 160 172 215 224 280 301 320 344 430 448 560 602 688 860 1120 1204 1376 1505 1720 2240 2408 2752 3010 3440 4816 6020 6880 9632 12040 13760 19264 24080 48160 96320 190699 381398 762796 953495 1334893 1525592 1906990 2669786 3051184 3813980 5339572 6102368 6674465 7627960 8200057 10679144 12204736 13348930 15255920 16400114 21358288 26697860 30511840 32800228 41000285 42716576 53395720 57400399 61023680 65600456 82000570 85433152 106791440 114800798 131200912 164001140 213582880 229601596 262401824 287001995 328002280 427165760 459203192 524803648 574003990 656004560 918406384 1148007980 1312009120 1836812768 2296015960 2624018240 3673625536 4592031920 9184063840 18368127680