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10949644896 = 2534710323561
BaseRepresentation
bin10100011001010011…
…00101001001100000
31001021002200121000120
422030221211021200
5134411102114041
65010304520240
7535225305651
oct121451451140
931232617016
1010949644896
114709875303
122157020080
131056676728
1475c323528
15441444366
hex28ca65260

10949644896 has 96 divisors (see below), whose sum is σ = 29640619008. Its totient is φ = 3537392640.

The previous prime is 10949644879. The next prime is 10949644907. The reversal of 10949644896 is 69844694901.

It is a tau number, because it is divible by the number of its divisors (96).

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, 452956 + ... + 476516.

It is an arithmetic number, because the mean of its divisors is an integer number (308756448).

Almost surely, 210949644896 is an apocalyptic number.

10949644896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10949644896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820309504).

10949644896 is an abundant number, since it is smaller than the sum of its proper divisors (18690974112).

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

10949644896 is a wasteful number, since it uses less digits than its factorization.

10949644896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23724 (or 23716 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 10949644896 in words is "ten billion, nine hundred forty-nine million, six hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 103 141 188 206 282 309 376 412 564 618 752 824 1128 1236 1504 1648 2256 2472 3296 4512 4841 4944 9682 9888 14523 19364 23561 29046 38728 47122 58092 70683 77456 94244 116184 141366 154912 188488 232368 282732 376976 464736 565464 753952 1107367 1130928 2214734 2261856 2426783 3322101 4429468 4853566 6644202 7280349 8858936 9707132 13288404 14560698 17717872 19414264 26576808 29121396 35435744 38828528 53153616 58242792 77657056 106307232 114058801 116485584 228117602 232971168 342176403 456235204 684352806 912470408 1368705612 1824940816 2737411224 3649881632 5474822448 10949644896