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3053204582688 = 253213978407141
BaseRepresentation
bin101100011011100001001…
…011001011000100100000
3101210212212002002010002200
4230123201023023010200
5400010430333121223
610254342310213200
7433405153514361
oct54334113130440
911725762063080
103053204582688
11a77947432177
12413894054200
13191bba4842b0
14a7ac1085b68
155464a5dea43
hex2c6e12cb120

3053204582688 has 144 divisors (see below), whose sum is σ = 9446836436856. Its totient is φ = 929762426880.

The previous prime is 3053204582611. The next prime is 3053204582731. The reversal of 3053204582688 is 8862854023503.

It is a happy number.

3053204582688 is a `hidden beast` number, since 3 + 0 + 5 + 320 + 4 + 58 + 268 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2643056559504 + 410148023184 = 1625748^2 + 640428^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 3840403 + ... + 4566738.

Almost surely, 23053204582688 is an apocalyptic number.

It is an amenable number.

3053204582688 is an abundant number, since it is smaller than the sum of its proper divisors (6393631854168).

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

3053204582688 is a wasteful number, since it uses less digits than its factorization.

3053204582688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407267 (or 8407256 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 3053204582688 in words is "three trillion, fifty-three billion, two hundred four million, five hundred eighty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 97 104 117 144 156 194 208 234 288 291 312 388 416 468 582 624 776 873 936 1164 1248 1261 1552 1746 1872 2328 2522 3104 3492 3744 3783 4656 5044 6984 7566 9312 10088 11349 13968 15132 20176 22698 27936 30264 40352 45396 60528 90792 121056 181584 363168 8407141 16814282 25221423 33628564 50442846 67257128 75664269 100885692 109292833 134514256 151328538 201771384 218585666 269028512 302657076 327878499 403542768 437171332 605314152 655756998 807085536 815492677 874342664 983635497 1210628304 1311513996 1630985354 1748685328 1967270994 2421256608 2446478031 2623027992 3261970708 3497370656 3934541988 4892956062 5246055984 6523941416 7339434093 7869083976 9785912124 10492111968 10601404801 13047882832 14678868186 15738167952 19571824248 21202809602 26095765664 29357736372 31476335904 31804214403 39143648496 42405619204 58715472744 63608428806 78287296992 84811238408 95412643209 117430945488 127216857612 169622476816 190825286418 234861890976 254433715224 339244953632 381650572836 508867430448 763301145672 1017734860896 1526602291344 3053204582688