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10490675776 = 2672312592
BaseRepresentation
bin10011100010100101…
…10000001001000000
31000002010001112202021
421301102300021000
5132441103111101
64452551331224
7520653162400
oct116122601100
930063045667
1010490675776
1144a3792a89
122049380b14
13cb2559479
147173ac800
15415ed35a1
hex2714b0240

10490675776 has 189 divisors, whose sum is σ = 25453865907. Its totient is φ = 4277226240.

The previous prime is 10490675759. The next prime is 10490675803. The reversal of 10490675776 is 67757609401.

The square root of 10490675776 is 102424.

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

It is a super-2 number, since 2×104906757762 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 177808035 + ... + 177808093.

Almost surely, 210490675776 is an apocalyptic number.

10490675776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10490675776 is the 102424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10490675776

10490675776 is an abundant number, since it is smaller than the sum of its proper divisors (14963190131).

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

10490675776 is an frugal number, since it uses more digits than its factorization.

10490675776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 52.

The spelling of 10490675776 in words is "ten billion, four hundred ninety million, six hundred seventy-five thousand, seven hundred seventy-six".