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20432433025 = 5217417571549
BaseRepresentation
bin10011000001110111…
…100010111110000001
31221201222020010211201
4103001313202332001
5313321200324100
613215253541201
71322222546404
oct230167427601
957658203751
1020432433025
118735637394
123b62944801
131c08163774
14dbb8cdd3b
157e8bd936a
hex4c1de2f81

20432433025 has 48 divisors (see below), whose sum is σ = 27534956400. Its totient is φ = 14979686400.

The previous prime is 20432433013. The next prime is 20432433031. The reversal of 20432433025 is 52033423402.

It can be written as a sum of positive squares in 24 ways, for example, as 15969124161 + 4463308864 = 126369^2 + 66808^2 .

It is not a de Polignac number, because 20432433025 - 225 = 20398878593 is a prime.

It is a super-2 number, since 2×204324330252 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20432432984 and 20432433002.

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 47 ways as a sum of consecutive naturals, for example, 13189951 + ... + 13191499.

It is an arithmetic number, because the mean of its divisors is an integer number (573644925).

Almost surely, 220432433025 is an apocalyptic number.

20432433025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20432433025 is a deficient number, since it is larger than the sum of its proper divisors (7102523375).

20432433025 is a wasteful number, since it uses less digits than its factorization.

20432433025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 20432433025 its reverse (52033423402), we get a palindrome (72465856427).

The spelling of 20432433025 in words is "twenty billion, four hundred thirty-two million, four hundred thirty-three thousand, twenty-five".

Divisors: 1 5 17 25 41 85 205 425 697 757 1025 1549 3485 3785 7745 12869 17425 18925 26333 31037 38725 63509 64345 131665 155185 317545 321725 527629 658325 775925 1079653 1172593 1587725 2638145 5398265 5862965 13190725 19934081 26991325 29314825 48076313 99670405 240381565 498352025 817297321 1201907825 4086486605 20432433025