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20431271844 = 223626472
BaseRepresentation
bin10011000001110011…
…000111011110100100
31221201220001011000000
4103001303013132210
5313320401144334
613215213021300
71322206642134
oct230163073644
957656034000
1020431271844
118734a13a35
123b62484830
131c07b48089
14dbb6aaac4
157e8a5a299
hex4c1cc77a4

20431271844 has 63 divisors (see below), whose sum is σ = 53627825307. Its totient is φ = 6807851064.

The previous prime is 20431271797. The next prime is 20431271879. The reversal of 20431271844 is 44817213402.

The square root of 20431271844 is 142938.

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

20431271844 is a `hidden beast` number, since 20 + 431 + 27 + 184 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20431271799 and 20431271808.

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 20 ways as a sum of consecutive naturals, for example, 7717329 + ... + 7719975.

Almost surely, 220431271844 is an apocalyptic number.

20431271844 is the 142938-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20431271844

20431271844 is an abundant number, since it is smaller than the sum of its proper divisors (33196553463).

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

20431271844 is an frugal number, since it uses more digits than its factorization.

20431271844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Multiplying 20431271844 by its sum of digits (36), we get a square (735525786384 = 8576282).

20431271844 divided by its sum of digits (36) gives a square (567535329 = 238232).

The spelling of 20431271844 in words is "twenty billion, four hundred thirty-one million, two hundred seventy-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2647 2916 5294 7941 10588 15882 23823 31764 47646 71469 95292 142938 214407 285876 428814 643221 857628 1286442 1929663 2572884 3859326 7006609 7718652 14013218 21019827 28026436 42039654 63059481 84079308 126118962 189178443 252237924 378356886 567535329 756713772 1135070658 1702605987 2270141316 3405211974 5107817961 6810423948 10215635922 20431271844