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42644511544624 = 2411341777708937
BaseRepresentation
bin10011011001000111100101…
…11101100101010100110000
312120222202221022221200000121
421230203302331211110300
521042141424423411444
6230410341304300024
711660651515222663
oct1154436275452460
9176882838850017
1042644511544624
1112651488032770
124948960771614
131aa448b428002
14a76010a4d6da
154de43566d084
hex26c8f2f65530

42644511544624 has 40 divisors (see below), whose sum is σ = 90135381176208. Its totient is φ = 19383784826880.

The previous prime is 42644511544597. The next prime is 42644511544633.

42644511544624 is nontrivially palindromic in base 10.

42644511544624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×426445115446242 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59798284 + ... + 60507220.

Almost surely, 242644511544624 is an apocalyptic number.

42644511544624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42644511544624 is an abundant number, since it is smaller than the sum of its proper divisors (47490869631584).

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

42644511544624 is a wasteful number, since it uses less digits than its factorization.

42644511544624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050733 (or 1050727 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 52.

The spelling of 42644511544624 in words is "forty-two trillion, six hundred forty-four billion, five hundred eleven million, five hundred forty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 341777 683554 708937 1367108 1417874 2734216 2835748 3759547 5468432 5671496 7519094 7798307 11342992 15038188 15596614 30076376 31193228 60152752 62386456 124772912 242298361049 484596722098 969193444196 1938386888392 2665281971539 3876773776784 5330563943078 10661127886156 21322255772312 42644511544624