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10447064640 = 263351209151
BaseRepresentation
bin10011011101011000…
…11000111001000000
3222222001222212112000
421232230120321000
5132343422032030
64444352504000
7516613404255
oct115654307100
928861885460
1010447064640
114481106321
12203684b000
13ca64ca06c
1471169942c
1541226b860
hex26eb18e40

10447064640 has 112 divisors (see below), whose sum is σ = 36854952960. Its totient is φ = 2785881600.

The previous prime is 10447064629. The next prime is 10447064647. The reversal of 10447064640 is 4646074401.

10447064640 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 7 + 0 + 6 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10447064595 and 10447064604.

It is not an unprimeable number, because it can be changed into a prime (10447064647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595936 + ... + 613215.

It is an arithmetic number, because the mean of its divisors is an integer number (329062080).

Almost surely, 210447064640 is an apocalyptic number.

10447064640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10447064640 is an abundant number, since it is smaller than the sum of its proper divisors (26407888320).

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

10447064640 is a wasteful number, since it uses less digits than its factorization.

10447064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209177 (or 1209161 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 10447064640 in words is "ten billion, four hundred forty-seven million, sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 1209151 2418302 3627453 4836604 6045755 7254906 9673208 10882359 12091510 14509812 18137265 19346416 21764718 24183020 29019624 32647077 36274530 38692832 43529436 48366040 54411795 58039248 65294154 72549060 77385664 87058872 96732080 108823590 116078496 130588308 145098120 163235385 174117744 193464160 217647180 232156992 261176616 290196240 326470770 348235488 386928320 435294360 522353232 580392480 652941540 696470976 870588720 1044706464 1160784960 1305883080 1741177440 2089412928 2611766160 3482354880 5223532320 10447064640