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23829321961 = 97412959497
BaseRepresentation
bin10110001100010101…
…101001100011101001
32021111201001222110001
4112030111221203221
5342300301300321
614540321023001
71502340615604
oct261425514351
967451058401
1023829321961
11a119038315
124750484a61
132329b3a513
141220acb33b
15947029c91
hex58c5698e9

23829321961 has 8 divisors (see below), whose sum is σ = 24081220520. Its totient is φ = 23577550848.

The previous prime is 23829321937. The next prime is 23829322001. The reversal of 23829321961 is 16912392832.

It can be written as a sum of positive squares in 4 ways, for example, as 4230721936 + 19598600025 = 65044^2 + 139995^2 .

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 23829321961 - 215 = 23829289193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23829321931) 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 7 ways as a sum of consecutive naturals, for example, 370765 + ... + 430261.

It is an arithmetic number, because the mean of its divisors is an integer number (3010152565).

Almost surely, 223829321961 is an apocalyptic number.

It is an amenable number.

23829321961 is a deficient number, since it is larger than the sum of its proper divisors (251898559).

23829321961 is an equidigital number, since it uses as much as digits as its factorization.

23829321961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63723.

The product of its digits is 279936, while the sum is 46.

The spelling of 23829321961 in words is "twenty-three billion, eight hundred twenty-nine million, three hundred twenty-one thousand, nine hundred sixty-one".

Divisors: 1 97 4129 59497 400513 5771209 245663113 23829321961