Search a number
-
+
18168267264 = 29371689757
BaseRepresentation
bin10000111010111010…
…011100001000000000
31201220011210121022120
4100322322130020000
5244202034023024
612202453004240
71212140503140
oct207272341000
951804717276
1018168267264
117783571114
123630623680
131937057004
14c44d0c920
15715045479
hex43ae9c200

18168267264 has 80 divisors (see below), whose sum is σ = 55315917888. Its totient is φ = 5190930432.

The previous prime is 18168267239. The next prime is 18168267269. The reversal of 18168267264 is 46276286181.

It is a super-2 number, since 2×181682672642 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18168267269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834127 + ... + 855630.

Almost surely, 218168267264 is an apocalyptic number.

18168267264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18168267264 is an abundant number, since it is smaller than the sum of its proper divisors (37147650624).

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

18168267264 is an equidigital number, since it uses as much as digits as its factorization.

18168267264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689785 (or 1689769 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The spelling of 18168267264 in words is "eighteen billion, one hundred sixty-eight million, two hundred sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 1689757 3379514 5069271 6759028 10138542 11828299 13518056 20277084 23656598 27036112 35484897 40554168 47313196 54072224 70969794 81108336 94626392 108144448 141939588 162216672 189252784 216288896 283879176 324433344 378505568 432577792 567758352 648866688 757011136 865155584 1135516704 1297733376 1514022272 2271033408 2595466752 3028044544 4542066816 6056089088 9084133632 18168267264