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10440667368 = 233417947773
BaseRepresentation
bin10011011100100111…
…11111000011101000
3222221121221212010000
421232103333003220
5132340302323433
64444003423000
7516505131315
oct115623770350
928847855100
1010440667368
114478536a1a
122034684a60
13ca509a2b1
147108b1d0c
15411906113
hex26e4ff0e8

10440667368 has 80 divisors (see below), whose sum is σ = 30963776580. Its totient is φ = 3275500032.

The previous prime is 10440667337. The next prime is 10440667421. The reversal of 10440667368 is 86376604401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9797436324 + 643231044 = 98982^2 + 25362^2 .

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 19 ways as a sum of consecutive naturals, for example, 462871 + ... + 484902.

Almost surely, 210440667368 is an apocalyptic number.

10440667368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10440667368 is an abundant number, since it is smaller than the sum of its proper divisors (20523109212).

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

10440667368 is a wasteful number, since it uses less digits than its factorization.

10440667368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947808 (or 947795 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10440667368 in words is "ten billion, four hundred forty million, six hundred sixty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 947773 1895546 2843319 3791092 5686638 7582184 8529957 11373276 16112141 17059914 22746552 25589871 32224282 34119828 48336423 51179742 64448564 68239656 76769613 96672846 102359484 128897128 145009269 153539226 193345692 204718968 290018538 307078452 386691384 435027807 580037076 614156904 870055614 1160074152 1305083421 1740111228 2610166842 3480222456 5220333684 10440667368