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490075111296 = 273447268047
BaseRepresentation
bin1110010000110101100…
…00001011111110000000
31201211222011210010110000
413020122300023332000
531012133212030141
61013045402240000
750256342466641
oct7103260137600
91654864703400
10490075111296
11179926695741
127ab911b6000
13372a1b9b774
1419a110536c8
15cb346605b6
hex721ac0bf80

490075111296 has 80 divisors (see below), whose sum is σ = 1458455621040. Its totient is φ = 163358366976.

The previous prime is 490075111219. The next prime is 490075111303. The reversal of 490075111296 is 692111570094.

490075111296 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 7 + 511 + 129 + 6 = 666.

It is a super-2 number, since 2×4900751112962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 23623656 + ... + 23644391.

It is an arithmetic number, because the mean of its divisors is an integer number (18230695263).

Almost surely, 2490075111296 is an apocalyptic number.

It is an amenable number.

490075111296 is an abundant number, since it is smaller than the sum of its proper divisors (968380509744).

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

490075111296 is an equidigital number, since it uses as much as digits as its factorization.

490075111296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47268073 (or 47268052 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 490075111296 in words is "four hundred ninety billion, seventy-five million, one hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 47268047 94536094 141804141 189072188 283608282 378144376 425412423 567216564 756288752 850824846 1134433128 1276237269 1512577504 1701649692 2268866256 2552474538 3025155008 3403299384 3828711807 4537732512 5104949076 6050310016 6806598768 7657423614 9075465024 10209898152 13613197536 15314847228 18150930048 20419796304 27226395072 30629694456 40839592608 54452790144 61259388912 81679185216 122518777824 163358370432 245037555648 490075111296