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638822052768 = 25367166359723
BaseRepresentation
bin10010100101111001100…
…00101111001110100000
32021001220121101200011110
421102330300233032200
540431301421142033
61205245405343320
764103414566224
oct11227460571640
92231817350143
10638822052768
11226a17438429
12a3984267b40
134831896a173
1422cc2222784
151193d223363
hex94bcc2f3a0

638822052768 has 96 divisors (see below), whose sum is σ = 1702988292096. Its totient is φ = 209632819968.

The previous prime is 638822052761. The next prime is 638822052773. The reversal of 638822052768 is 867250228836.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (638822052761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10666555 + ... + 10726277.

It is an arithmetic number, because the mean of its divisors is an integer number (17739461376).

Almost surely, 2638822052768 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 638822052768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851494146048).

638822052768 is an abundant number, since it is smaller than the sum of its proper divisors (1064166239328).

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

638822052768 is a wasteful number, since it uses less digits than its factorization.

638822052768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61466 (or 61458 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 638822052768 in words is "six hundred thirty-eight billion, eight hundred twenty-two million, fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 1663 2144 3216 3326 4989 6432 6652 9978 13304 19956 26608 39912 53216 59723 79824 111421 119446 159648 179169 222842 238892 334263 358338 445684 477784 668526 716676 891368 955568 1337052 1433352 1782736 1911136 2674104 2866704 3565472 4001441 5348208 5733408 8002882 10696416 12004323 16005764 24008646 32011528 48017292 64023056 96034584 99319349 128046112 192069168 198638698 297958047 384138336 397277396 595916094 794554792 1191832188 1589109584 2383664376 3178219168 4767328752 6654396383 9534657504 13308792766 19963189149 26617585532 39926378298 53235171064 79852756596 106470342128 159705513192 212940684256 319411026384 638822052768