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480490194276 = 223223250232
BaseRepresentation
bin1101111110111110111…
…00101000010101100100
31200221020012001220010100
412333133130220111210
530333020442204101
61004422324224100
746466665156311
oct6773734502544
91627205056110
10480490194276
11175858208714
127915723b030
13364051a3c31
141938209dd08
15c772e44e86
hex6fdf728564

480490194276 has 81 divisors (see below), whose sum is σ = 1269928733619. Its totient is φ = 153169272432.

The previous prime is 480490194263. The next prime is 480490194409. The reversal of 480490194276 is 672491094084.

The square root of 480490194276 is 693174.

It is a perfect power (a square), and thus also a powerful number.

480490194276 is a `hidden beast` number, since 4 + 80 + 490 + 1 + 9 + 4 + 2 + 76 = 666.

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 26 ways as a sum of consecutive naturals, for example, 95655501 + ... + 95660523.

Almost surely, 2480490194276 is an apocalyptic number.

480490194276 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

480490194276 is the 693174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480490194276

480490194276 is an abundant number, since it is smaller than the sum of its proper divisors (789438539343).

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

480490194276 is an equidigital number, since it uses as much as digits as its factorization.

480490194276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 480490194276 in words is "four hundred eighty billion, four hundred ninety million, one hundred ninety-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 5023 6348 9522 10046 15069 19044 20092 30138 45207 60276 90414 115529 180828 231058 346587 462116 693174 1039761 1386348 2079522 2657167 4159044 5314334 7971501 10628668 15943002 23914503 25230529 31886004 47829006 50461058 75691587 95658012 100922116 151383174 227074761 302766348 454149522 580302167 908299044 1160604334 1740906501 2321208668 3481813002 5222719503 6963626004 10445439006 13346949841 20890878012 26693899682 40040849523 53387799364 80081699046 120122548569 160163398092 240245097138 480490194276