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10959367969 = 1123123072
BaseRepresentation
bin10100011010011101…
…01010111100100001
31001021202222120120101
422031032222330201
5134421044233334
65011253142401
7535404043054
oct121516527441
931252876511
1010959367969
114714306400
12215a32aa01
13105869c224
1475d734a9b
15442215214
hex28d3aaf21

10959367969 has 27 divisors (see below), whose sum is σ = 12488048433. Its totient is φ = 9610266600.

The previous prime is 10959367961. The next prime is 10959367973. The reversal of 10959367969 is 96976395901.

The square root of 10959367969 is 104687.

It is a perfect power (a square), and thus also a powerful number.

10959367969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10959367969 - 23 = 10959367961 is a prime.

It is a super-2 number, since 2×109593679692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10959367969.

It is not an unprimeable number, because it can be changed into a prime (10959367961) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 35698114 + ... + 35698420.

Almost surely, 210959367969 is an apocalyptic number.

10959367969 is the 104687-th square number.

10959367969 is the 52344-th centered octagonal number.

It is an amenable number.

10959367969 is a deficient number, since it is larger than the sum of its proper divisors (1528680464).

10959367969 is an frugal number, since it uses more digits than its factorization.

10959367969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 24800580, while the sum is 64.

Multiplying 10959367969 by its sum of digits (64), we get a square (701399550016 = 8374962).

The spelling of 10959367969 in words is "ten billion, nine hundred fifty-nine million, three hundred sixty-seven thousand, nine hundred sixty-nine".

Divisors: 1 11 31 121 307 341 961 3377 3751 9517 10571 37147 94249 104687 116281 295027 1036739 1151557 2921719 3245297 11404129 32138909 35698267 90573289 353527999 996306179 10959367969