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30266585971104 = 2537264231704559
BaseRepresentation
bin1101110000110111111010…
…00110101111100110100000
310222011110100102020020122110
412320123331012233212200
512431341432002033404
6144212135545435320
76242455133635650
oct670337506574640
9128143312206573
1030266585971104
119709a9480693a
123489a4a49bb40
1313b71857aa612
14768ca68a4360
15377483c84b89
hex1b86fd1af9a0

30266585971104 has 96 divisors (see below), whose sum is σ = 90803247575040. Its totient is φ = 8647263643392.

The previous prime is 30266585971051. The next prime is 30266585971117. The reversal of 30266585971104 is 40117958566203.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16903977 + ... + 18608535.

It is an arithmetic number, because the mean of its divisors is an integer number (945867162240).

It is a 2-persistent number, because it is pandigital, and so is 2⋅30266585971104 = 60533171942208, but 3⋅30266585971104 = 90799757913312 is not.

Almost surely, 230266585971104 is an apocalyptic number.

It is an amenable number.

30266585971104 is an abundant number, since it is smaller than the sum of its proper divisors (60536661603936).

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

30266585971104 is a wasteful number, since it uses less digits than its factorization.

30266585971104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731002 (or 1730994 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 30266585971104 in words is "thirty trillion, two hundred sixty-six billion, five hundred eighty-five million, nine hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 26423 52846 79269 105692 158538 184961 211384 317076 369922 422768 554883 634152 739844 845536 1109766 1268304 1479688 1704559 2219532 2536608 2959376 3409118 4439064 5113677 5918752 6818236 8878128 10227354 11931913 13636472 17756256 20454708 23863826 27272944 35795739 40909416 47727652 54545888 71591478 81818832 95455304 143182956 163637664 190910608 286365912 381821216 572731824 1145463648 45039562457 90079124914 135118687371 180158249828 270237374742 315276937199 360316499656 540474749484 630553874398 720632999312 945830811597 1080949498968 1261107748796 1441265998624 1891661623194 2161898997936 2522215497592 3783323246388 4323797995872 5044430995184 7566646492776 10088861990368 15133292985552 30266585971104