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23793149953 = 731181275981
BaseRepresentation
bin10110001010001011…
…101010100000000001
32021102012000020210001
4112022023222200001
5342212021244303
614532545440001
71501421303056
oct261213524001
967365006701
1023793149953
11a0aa6817a1
124740340001
1323224b4171
141219d9302d
15943c8231d
hex58a2ea801

23793149953 has 8 divisors (see below), whose sum is σ = 24139593576. Its totient is φ = 23447260800.

The previous prime is 23793149929. The next prime is 23793149987. The reversal of 23793149953 is 35994139732.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12623196609 + 11169953344 = 112353^2 + 105688^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 23793149953 - 217 = 23793018881 is a prime.

It is a super-2 number, since 2×237931499532 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23793149894 and 23793149903.

It is not an unprimeable number, because it can be changed into a prime (23793149993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51778 + ... + 224203.

It is an arithmetic number, because the mean of its divisors is an integer number (3017449197).

Almost surely, 223793149953 is an apocalyptic number.

It is an amenable number.

23793149953 is a deficient number, since it is larger than the sum of its proper divisors (346443623).

23793149953 is a wasteful number, since it uses less digits than its factorization.

23793149953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277235.

The product of its digits is 5511240, while the sum is 55.

The spelling of 23793149953 in words is "twenty-three billion, seven hundred ninety-three million, one hundred forty-nine thousand, nine hundred fifty-three".

Divisors: 1 73 1181 86213 275981 20146613 325933561 23793149953