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23319427849 = 79219332
BaseRepresentation
bin10101101101111100…
…100011101100001001
32020012011121200012221
4111231330203230021
5340224233142344
614413544134041
71453606603054
oct255574435411
966164550187
1023319427849
119987233323
124629767321
1322782ccb23
1411b30bba9b
159173aa184
hex56df23b09

23319427849 has 9 divisors (see below), whose sum is σ = 23630571783. Its totient is φ = 23012334072.

The previous prime is 23319427819. The next prime is 23319427891. The reversal of 23319427849 is 94872491332.

The square root of 23319427849 is 152707.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15877260025 + 7442167824 = 126005^2 + 86268^2 .

It is not a de Polignac number, because 23319427849 - 29 = 23319427337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23319427796 and 23319427805.

It is not an unprimeable number, because it can be changed into a prime (23319427819) 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 8 ways as a sum of consecutive naturals, for example, 12062887 + ... + 12064819.

It is an arithmetic number, because the mean of its divisors is an integer number (2625619087).

Almost surely, 223319427849 is an apocalyptic number.

23319427849 is the 152707-th square number.

23319427849 is the 76354-th centered octagonal number.

It is an amenable number.

23319427849 is a deficient number, since it is larger than the sum of its proper divisors (311143934).

23319427849 is an frugal number, since it uses more digits than its factorization.

23319427849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 2012 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The spelling of 23319427849 in words is "twenty-three billion, three hundred nineteen million, four hundred twenty-seven thousand, eight hundred forty-nine".

Divisors: 1 79 1933 6241 152707 3736489 12063853 295182631 23319427849