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9097920049 = 294147712293
BaseRepresentation
bin10000111100100011…
…10011111000110001
3212111001100020001211
420132101303320301
5122113031420144
64102440000121
7441312021151
oct103621637061
925431306054
109097920049
1139495a1a99
12191aa60041
13b1cb4615a
14624424761
15383ac0034
hex21e473e31

9097920049 has 32 divisors (see below), whose sum is σ = 9989360640. Its totient is φ = 8265868800.

The previous prime is 9097920037. The next prime is 9097920079. The reversal of 9097920049 is 9400297909.

9097920049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 9097920049 - 213 = 9097911857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9097919984 and 9097920011.

It is not an unprimeable number, because it can be changed into a prime (9097920079) 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 31 ways as a sum of consecutive naturals, for example, 3966547 + ... + 3968839.

It is an arithmetic number, because the mean of its divisors is an integer number (312167520).

Almost surely, 29097920049 is an apocalyptic number.

It is an amenable number.

9097920049 is a deficient number, since it is larger than the sum of its proper divisors (891440591).

9097920049 is a wasteful number, since it uses less digits than its factorization.

9097920049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481.

The product of its (nonzero) digits is 367416, while the sum is 49.

The square root of 9097920049 is about 95383.0176131999. The cubic root of 9097920049 is about 2087.6004029015.

The spelling of 9097920049 in words is "nine billion, ninety-seven million, nine hundred twenty thousand, forty-nine".

Divisors: 1 29 41 47 71 1189 1363 1927 2059 2293 2911 3337 55883 66497 84419 94013 96773 107771 136817 162803 2726377 3125359 3967693 4418611 4721287 6674923 7651741 128139719 193572767 221900489 313721381 9097920049