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23032417729 = 291873424037
BaseRepresentation
bin10101011100110101…
…101100110111000001
32012110011120001100111
4111130311230313001
5334132244331404
614325252351321
71443523214626
oct253465546701
965404501314
1023032417729
11984a221382
124569615541
1322309cc759
141186d2a34d
158ec0b5104
hex55cd6cdc1

23032417729 has 8 divisors (see below), whose sum is σ = 23839416360. Its totient is φ = 22226270976.

The previous prime is 23032417711. The next prime is 23032417753. The reversal of 23032417729 is 92771423032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61984129 + 22970433600 = 7873^2 + 151560^2 .

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 23032417729 - 29 = 23032417217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23032417691 and 23032417700.

It is not an unprimeable number, because it can be changed into a prime (23032411729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157702 + ... + 266335.

It is an arithmetic number, because the mean of its divisors is an integer number (2979927045).

Almost surely, 223032417729 is an apocalyptic number.

23032417729 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

23032417729 is a deficient number, since it is larger than the sum of its proper divisors (806998631).

23032417729 is a wasteful number, since it uses less digits than its factorization.

23032417729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425939.

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 23032417729 in words is "twenty-three billion, thirty-two million, four hundred seventeen thousand, seven hundred twenty-nine".

Divisors: 1 29 1873 54317 424037 12297073 794221301 23032417729