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10997759904 = 2538910312497
BaseRepresentation
bin10100011111000010…
…00111111110100000
31001101110020002101220
422033201013332200
5140010411304104
65015144055040
7536351262645
oct121741077640
931343202356
1010997759904
114733a4887a
12216b164480
131063621b51
14764889dcc
1544579a7d9
hex28f847fa0

10997759904 has 96 divisors (see below), whose sum is σ = 29479282560. Its totient is φ = 3589251072.

The previous prime is 10997759893. The next prime is 10997759939. The reversal of 10997759904 is 40995779901.

It is a happy number.

10997759904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873784 + ... + 886280.

It is an arithmetic number, because the mean of its divisors is an integer number (307075860).

Almost surely, 210997759904 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 10997759904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14739641280).

10997759904 is an abundant number, since it is smaller than the sum of its proper divisors (18481522656).

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

10997759904 is a wasteful number, since it uses less digits than its factorization.

10997759904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12702 (or 12694 counting only the distinct ones).

The product of its (nonzero) digits is 6429780, while the sum is 60.

The spelling of 10997759904 in words is "ten billion, nine hundred ninety-seven million, seven hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 103 178 206 267 309 356 412 534 618 712 824 1068 1236 1424 1648 2136 2472 2848 3296 4272 4944 8544 9167 9888 12497 18334 24994 27501 36668 37491 49988 55002 73336 74982 99976 110004 146672 149964 199952 220008 293344 299928 399904 440016 599856 880032 1112233 1199712 1287191 2224466 2574382 3336699 3861573 4448932 5148764 6673398 7723146 8897864 10297528 13346796 15446292 17795728 20595056 26693592 30892584 35591456 41190112 53387184 61785168 106774368 114559999 123570336 229119998 343679997 458239996 687359994 916479992 1374719988 1832959984 2749439976 3665919968 5498879952 10997759904