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480531604313024 = 26111015616720821
BaseRepresentation
bin110110101000010100111101…
…1100101000001001111000000
32100000102101001201102022010022
41231100221323211001033000
51000441012211201004044
64422001101012553012
7203134156055133545
oct15520517345011700
92300371051368108
10480531604313024
1112a1263442243a0
1245a8a2b2022768
1317818c220a8a74
148693bd4964bcc
153a84ae30763ee
hex1b50a7b9413c0

480531604313024 has 56 divisors (see below), whose sum is σ = 1040252108921136. Its totient is φ = 218421273344000.

The previous prime is 480531604313023. The next prime is 480531604313053. The reversal of 480531604313024 is 420313406135084.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480531604313023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68138534 + ... + 74859354.

Almost surely, 2480531604313024 is an apocalyptic number.

480531604313024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

480531604313024 is an abundant number, since it is smaller than the sum of its proper divisors (559720504608112).

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

480531604313024 is a wasteful number, since it uses less digits than its factorization.

480531604313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6822405 (or 6822395 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 480531604313024 in words is "four hundred eighty trillion, five hundred thirty-one billion, six hundred four million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 101561 203122 406244 812488 1117171 1624976 2234342 3249952 4468684 6499904 6720821 8937368 13441642 17874736 26883284 35749472 53766568 71498944 73929031 107533136 147858062 215066272 295716124 430132544 591432248 1182864496 2365728992 4731457984 682573301581 1365146603162 2730293206324 5460586412648 7508306317391 10921172825296 15016612634782 21842345650592 30033225269564 43684691301184 60066450539128 120132901078256 240265802156512 480531604313024