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23813427856 = 2417322232
BaseRepresentation
bin10110001011011001…
…000001001010010000
32021110121011110211111
4112023121001022100
5342232214142411
614534552223104
71502055540241
oct261331011220
967417143744
1023813427856
11a110071899
12474709aa94
132326763c1a
14121c950cc8
1594593a721
hex58b641290

23813427856 has 45 divisors (see below), whose sum is σ = 46615789929. Its totient is φ = 11784804288.

The previous prime is 23813427853. The next prime is 23813427857. The reversal of 23813427856 is 65872431832.

The square root of 23813427856 is 154316.

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., 21661952400 + 2151475456 = 147180^2 + 46384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23813427851) 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 8 ways as a sum of consecutive naturals, for example, 106786561 + ... + 106786783.

Almost surely, 223813427856 is an apocalyptic number.

23813427856 is the 154316-th square number.

It is an amenable number.

23813427856 is a deficient number, since it is larger than the sum of its proper divisors (22802362073).

23813427856 is an frugal number, since it uses more digits than its factorization.

23813427856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 398 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

Multiplying 23813427856 by its sum of digits (49), we get a square (1166857964944 = 10802122).

The spelling of 23813427856 in words is "twenty-three billion, eight hundred thirteen million, four hundred twenty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 173 223 346 446 692 892 1384 1784 2768 3568 29929 38579 49729 59858 77158 99458 119716 154316 198916 239432 308632 397832 478864 617264 795664 6674167 8603117 13348334 17206234 26696668 34412468 53393336 68824936 106786672 137649872 1488339241 2976678482 5953356964 11906713928 23813427856