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23443234432 = 271011813369
BaseRepresentation
bin10101110101010100…
…110101111010000000
32020111210120200220221
4111311110311322000
5341002432000212
614434125512424
71456642130152
oct256524657200
966453520827
1023443234432
119a40105012
124663112714
132297b5a567
1411c5708ad2
159231b3807
hex575535e80

23443234432 has 32 divisors (see below), whose sum is σ = 47165753700. Its totient is φ = 11605555200.

The previous prime is 23443234411. The next prime is 23443234453.

23443234432 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23443234411) and next prime (23443234453).

It can be written as a sum of positive squares in 2 ways, for example, as 23355174976 + 88059456 = 152824^2 + 9384^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 893757 + ... + 919612.

Almost surely, 223443234432 is an apocalyptic number.

It is an amenable number.

23443234432 is an abundant number, since it is smaller than the sum of its proper divisors (23722519268).

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

23443234432 is a wasteful number, since it uses less digits than its factorization.

23443234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813484 (or 1813472 counting only the distinct ones).

The product of its digits is 165888, while the sum is 34.

The spelling of 23443234432 in words is "twenty-three billion, four hundred forty-three million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 12928 1813369 3626738 7253476 14506952 29013904 58027808 116055616 183150269 232111232 366300538 732601076 1465202152 2930404304 5860808608 11721617216 23443234432