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10368034720 = 255269240893
BaseRepresentation
bin10011010011111101…
…11010011110100000
3222202120021201211221
421221332322132200
5132213204102340
64432450544424
7514633561321
oct115176723640
928676251757
1010368034720
114440537a3a
122014298114
13c930193b4
14704da6448
1540a35a44a
hex269fba7a0

10368034720 has 48 divisors (see below), whose sum is σ = 24585641640. Its totient is φ = 4131779584.

The previous prime is 10368034679. The next prime is 10368034751. The reversal of 10368034720 is 2743086301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4520679696 + 5847355024 = 67236^2 + 76468^2 .

It is a super-2 number, since 2×103680347202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77407 + ... + 163486.

Almost surely, 210368034720 is an apocalyptic number.

10368034720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10368034720 is an abundant number, since it is smaller than the sum of its proper divisors (14217606920).

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

10368034720 is a wasteful number, since it uses less digits than its factorization.

10368034720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241177 (or 241169 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 10368034720 in words is "ten billion, three hundred sixty-eight million, thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 269 538 1076 1345 2152 2690 4304 5380 8608 10760 21520 43040 240893 481786 963572 1204465 1927144 2408930 3854288 4817860 7708576 9635720 19271440 38542880 64800217 129600434 259200868 324001085 518401736 648002170 1036803472 1296004340 2073606944 2592008680 5184017360 10368034720