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9969293945 = 51333892333
BaseRepresentation
bin10010100100011011…
…10101101001111001
3221201202222121100002
421102031311221321
5130404114401240
64325124322345
7502022412632
oct112215655171
927652877302
109969293945
114256452106
121b228433b5
13c2b529000
146a804c889
153d5344d15
hex252375a79

9969293945 has 32 divisors (see below), whose sum is σ = 12998512800. Its totient is φ = 7339867392.

The previous prime is 9969293933. The next prime is 9969293947. The reversal of 9969293945 is 5493929699.

It can be written as a sum of positive squares in 16 ways, for example, as 9887518096 + 81775849 = 99436^2 + 9043^2 .

It is not a de Polignac number, because 9969293945 - 26 = 9969293881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is not an unprimeable number, because it can be changed into a prime (9969293947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4271999 + ... + 4274331.

It is an arithmetic number, because the mean of its divisors is an integer number (406203525).

Almost surely, 29969293945 is an apocalyptic number.

It is an amenable number.

9969293945 is a deficient number, since it is larger than the sum of its proper divisors (3029218855).

9969293945 is a wasteful number, since it uses less digits than its factorization.

9969293945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2740 counting only the distinct ones).

The product of its digits is 42515280, while the sum is 65.

The square root of 9969293945 is about 99846.3516859780. The cubic root of 9969293945 is about 2152.2272894662.

The spelling of 9969293945 in words is "nine billion, nine hundred sixty-nine million, two hundred ninety-three thousand, nine hundred forty-five".

Divisors: 1 5 13 65 169 389 845 1945 2197 2333 5057 10985 11665 25285 30329 65741 151645 328705 394277 854633 907537 1971385 4273165 4537685 5125601 11797981 25628005 58989905 153373753 766868765 1993858789 9969293945