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18669377664 = 27347257239
BaseRepresentation
bin10001011000110010…
…000001100010000000
31210012002201122120000
4101120302001202000
5301213330041124
612324313320000
71230434043330
oct213062014200
953162648500
1018669377664
117a10416843
123750406000
1319b6b0a642
14c916b30c0
1574402c6c9
hex458c81880

18669377664 has 160 divisors (see below), whose sum is σ = 63497121600. Its totient is φ = 5334087168.

The previous prime is 18669377653. The next prime is 18669377669. The reversal of 18669377664 is 46677396681.

It is a super-2 number, since 2×186693776642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (18669377669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56044 + ... + 201195.

It is an arithmetic number, because the mean of its divisors is an integer number (396857010).

Almost surely, 218669377664 is an apocalyptic number.

18669377664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18669377664 is an abundant number, since it is smaller than the sum of its proper divisors (44827743936).

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

18669377664 is an equidigital number, since it uses as much as digits as its factorization.

18669377664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257272 (or 257251 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 18669377664 in words is "eighteen billion, six hundred sixty-nine million, three hundred seventy-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 257239 514478 771717 1028956 1543434 1800673 2057912 2315151 3086868 3601346 4115824 4630302 5402019 6173736 6945453 7202692 8231648 9260604 10804038 12347472 13890906 14405384 16206057 16463296 18521208 20836359 21608076 24694944 27781812 28810768 32412114 32926592 37042416 41672718 43216152 48618171 49389888 55563624 57621536 64824228 74084832 83345436 86432304 97236342 98779776 111127248 115243072 129648456 145854513 148169664 166690872 172864608 194472684 222254496 230486144 259296912 291709026 296339328 333381744 345729216 388945368 444508992 518593824 583418052 666763488 691458432 777890736 889017984 1037187648 1166836104 1333526976 1555781472 2074375296 2333672208 2667053952 3111562944 4667344416 6223125888 9334688832 18669377664