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5760028809252 = 22321997208138501
BaseRepresentation
bin101001111010001110001…
…1110001001100000100100
3202101122122022101222202200
41103310130132021200210
51223333014333344002
620130042023334500
71133101612022304
oct123643436114044
922348568358680
105760028809252
1119208a6110013
127903b9bb1430
1332a225c37383
1415cb032bd604
159ec7181cb1c
hex53d1c789824

5760028809252 has 72 divisors (see below), whose sum is σ = 14574742516152. Its totient is φ = 1918076160000.

The previous prime is 5760028809239. The next prime is 5760028809253. The reversal of 5760028809252 is 2529088200675.

It is a happy number.

5760028809252 is a `hidden beast` number, since 5 + 7 + 600 + 2 + 8 + 8 + 0 + 9 + 25 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143242568676 + 5616786240576 = 378474^2 + 2369976^2 .

It is not an unprimeable number, because it can be changed into a prime (5760028809253) 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 23 ways as a sum of consecutive naturals, for example, 149588002 + ... + 149626502.

It is an arithmetic number, because the mean of its divisors is an integer number (202426979391).

Almost surely, 25760028809252 is an apocalyptic number.

It is an amenable number.

5760028809252 is an abundant number, since it is smaller than the sum of its proper divisors (8814713706900).

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

5760028809252 is a wasteful number, since it uses less digits than its factorization.

5760028809252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42589 (or 42584 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 5760028809252 in words is "five trillion, seven hundred sixty billion, twenty-eight million, eight hundred nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1997 2081 3994 4162 5991 6243 7988 8324 11982 12486 17973 18729 23964 24972 35946 37458 38501 71892 74916 77002 115503 154004 231006 346509 462012 693018 1386036 4155757 8311514 12467271 16623028 24934542 37401813 49869084 74803626 76886497 80120581 149607252 153772994 160241162 230659491 240361743 307545988 320482324 461318982 480723486 691978473 721085229 922637964 961446972 1383956946 1442170458 2767913892 2884340916 160000800257 320001600514 480002400771 640003201028 960004801542 1440007202313 1920009603084 2880014404626 5760028809252