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264444242444450 = 252137449110377951
BaseRepresentation
bin111100001000001010111001…
…001000100100000010100010
31021200022121210221020200200022
4330020022321020210002202
5234130123302031210300
62334232001411153442
7106462315564041035
oct7410127110440242
91250277727220608
10264444242444450
117729519a8a37a2
12257ab0958a5882
13b472ca6243733
14494325365101c
152088c05693285
hexf082b92240a2

264444242444450 has 96 divisors (see below), whose sum is σ = 497016588902400. Its totient is φ = 104675400704000.

The previous prime is 264444242444449. The next prime is 264444242444509. The reversal of 264444242444450 is 54444242444462.

It is a super-2 number, since 2×2644442424444502 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264444242444392 and 264444242444401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3392402975 + ... + 3392480925.

It is an arithmetic number, because the mean of its divisors is an integer number (5177256134400).

Almost surely, 2264444242444450 is an apocalyptic number.

264444242444450 is a deficient number, since it is larger than the sum of its proper divisors (232572346457950).

264444242444450 is a wasteful number, since it uses less digits than its factorization.

264444242444450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79652 (or 79647 counting only the distinct ones).

The product of its (nonzero) digits is 62914560, while the sum is 53.

The spelling of 264444242444450 in words is "two hundred sixty-four trillion, four hundred forty-four billion, two hundred forty-two million, four hundred forty-four thousand, four hundred fifty".

Divisors: 1 2 5 10 25 50 137 274 449 685 898 1103 1370 2206 2245 3425 4490 5515 6850 11030 11225 22450 27575 55150 61513 77951 123026 151111 155902 302222 307565 389755 495247 615130 755555 779510 990494 1511110 1537825 1948775 2476235 3075650 3777775 3897550 4952470 7555550 10679287 12381175 21358574 24762350 34999999 53396435 67848839 69999998 85979953 106792870 135697678 171959906 174999995 266982175 339244195 349999990 429899765 533964350 678488390 859799530 874999975 1696220975 1749999950 2149498825 3392441950 4298997650 4794999863 9589999726 11779253561 23558507122 23974999315 38604998897 47949998630 58896267805 77209997794 117792535610 119874996575 193024994485 239749993150 294481339025 386049988970 588962678050 965124972425 1930249944850 5288884848889 10577769697778 26444424244445 52888848488890 132222121222225 264444242444450