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10293235744 = 251122658377
BaseRepresentation
bin10011001011000011…
…00101000000100000
3222120100112112221111
421211201211000200
5132040032020434
64421215433104
7513035026441
oct114541450040
928510475844
1010293235744
114402299400
121bb3225794
13c8068a44c
146d90952c8
154039d2964
hex265865020

10293235744 has 36 divisors (see below), whose sum is σ = 22274549262. Its totient is φ = 4678741760.

The previous prime is 10293235739. The next prime is 10293235751. The reversal of 10293235744 is 44753239201.

It can be written as a sum of positive squares in only one way, i.e., 10196960400 + 96275344 = 100980^2 + 9812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10293235697 and 10293235706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1325317 + ... + 1333060.

Almost surely, 210293235744 is an apocalyptic number.

It is an amenable number.

10293235744 is an abundant number, since it is smaller than the sum of its proper divisors (11981313518).

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

10293235744 is a wasteful number, since it uses less digits than its factorization.

10293235744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658409 (or 2658390 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 10293235744 in words is "ten billion, two hundred ninety-three million, two hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 2658377 5316754 10633508 21267016 29242147 42534032 58484294 85068064 116968588 233937176 321663617 467874352 643327234 935748704 1286654468 2573308936 5146617872 10293235744