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18774408448 = 28718271249
BaseRepresentation
bin10001011111000010…
…101011110100000000
31210110102100202201001
4101133002223310000
5301422222032243
612342544421344
71233150560455
oct213702536400
953412322631
1018774408448
117a64733a44
12377b617854
131a027c2c33
14ca161382c
1574d377a4d
hex45f0abd00

18774408448 has 72 divisors (see below), whose sum is σ = 38079720000. Its totient is φ = 9236398080.

The previous prime is 18774408431. The next prime is 18774408479. The reversal of 18774408448 is 84480447781.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15030928 + ... + 15032176.

It is an arithmetic number, because the mean of its divisors is an integer number (528885000).

Almost surely, 218774408448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18774408448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039860000).

18774408448 is an abundant number, since it is smaller than the sum of its proper divisors (19305311552).

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

18774408448 is an equidigital number, since it uses as much as digits as its factorization.

18774408448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 55.

The spelling of 18774408448 in words is "eighteen billion, seven hundred seventy-four million, four hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 568 827 1136 1249 1654 2272 2498 3308 4544 4996 6616 9088 9992 13232 18176 19984 26464 39968 52928 58717 79936 88679 105856 117434 159872 177358 211712 234868 319744 354716 469736 709432 939472 1032923 1418864 1878944 2065846 2837728 3757888 4131692 5675456 7515776 8263384 11350912 15031552 16526768 22701824 33053536 66107072 73337533 132214144 146675066 264428288 293350132 586700264 1173400528 2346801056 4693602112 9387204224 18774408448