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480563054767360 = 285375439886537
BaseRepresentation
bin110110101000100011100111…
…0001010111110110100000000
32100000112101020112222220210101
41231101013032022332310000
51000442021114010023420
64422023341501212144
7203136351326444335
oct15521071612766400
92300471215886711
10480563054767360
1112a138713188214
1245a9440a861054
131781bb94b06766
14869553989698c
153a858341ae60a
hex1b511ce2bed00

480563054767360 has 36 divisors (see below), whose sum is σ = 1151098692125508. Its totient is φ = 192225221906432.

The previous prime is 480563054767339. The next prime is 480563054767381. The reversal of 480563054767360 is 63767450365084.

It is an interprime number because it is at equal distance from previous prime (480563054767339) and next prime (480563054767381).

It can be written as a sum of positive squares in 2 ways, for example, as 259645011158016 + 220918043609344 = 16113504^2 + 14863312^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 480563054767292 and 480563054767301.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 187719941989 + ... + 187719944548.

It is an arithmetic number, because the mean of its divisors is an integer number (31974963670153).

Almost surely, 2480563054767360 is an apocalyptic number.

480563054767360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480563054767360 is an abundant number, since it is smaller than the sum of its proper divisors (670535637358148).

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

480563054767360 is an equidigital number, since it uses as much as digits as its factorization.

480563054767360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375439886558 (or 375439886544 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 64.

The spelling of 480563054767360 in words is "four hundred eighty trillion, five hundred sixty-three billion, fifty-four million, seven hundred sixty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 375439886537 750879773074 1501759546148 1877199432685 3003519092296 3754398865370 6007038184592 7508797730740 12014076369184 15017595461480 24028152738368 30035190922960 48056305476736 60070381845920 96112610953472 120140763691840 240281527383680 480563054767360