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10944847104 = 283314310691
BaseRepresentation
bin10100011000101110…
…10001110100000000
31001020202122211200120
422030113101310000
5134403340101404
65010014020240
7535136444142
oct121427216400
931222584616
1010944847104
114707098694
1221554a7680
1310556869b9
1475b834c92
15440ce79d9
hex28c5d1d00

10944847104 has 144 divisors (see below), whose sum is σ = 30771062784. Its totient is φ = 3448166400.

The previous prime is 10944847093. The next prime is 10944847117. The reversal of 10944847104 is 40174844901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018399 + ... + 1029089.

It is an arithmetic number, because the mean of its divisors is an integer number (213687936).

Almost surely, 210944847104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10944847104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385531392).

10944847104 is an abundant number, since it is smaller than the sum of its proper divisors (19826215680).

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

10944847104 is a wasteful number, since it uses less digits than its factorization.

10944847104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10784 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 10944847104 in words is "ten billion, nine hundred forty-four million, eight hundred forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 64 86 93 96 124 128 129 172 186 192 248 256 258 344 372 384 496 516 688 744 768 992 1032 1333 1376 1488 1984 2064 2666 2752 2976 3968 3999 4128 5332 5504 5952 7936 7998 8256 10664 10691 11008 11904 15996 16512 21328 21382 23808 31992 32073 33024 42656 42764 63984 64146 85312 85528 127968 128292 170624 171056 255936 256584 331421 341248 342112 459713 511872 513168 662842 684224 919426 994263 1023744 1026336 1325684 1368448 1379139 1838852 1988526 2052672 2651368 2736896 2758278 3677704 3977052 4105344 5302736 5516556 7355408 7954104 8210688 10605472 11033112 14251103 14710816 15908208 21210944 22066224 28502206 29421632 31816416 42421888 42753309 44132448 57004412 58843264 63632832 84843776 85506618 88264896 114008824 117686528 127265664 171013236 176529792 228017648 254531328 342026472 353059584 456035296 684052944 912070592 1368105888 1824141184 2736211776 3648282368 5472423552 10944847104