Search a number
-
+
20444563540 = 2251922831657
BaseRepresentation
bin10011000010100101…
…110100100001010100
31221202211001102210001
4103002211310201110
5313332302013130
613220405541044
71322430631342
oct230245644124
957684042701
1020444563540
118741472205
123b66a14784
131c0a81cc9b
14dbd36a992
157e9cd36ca
hex4c2974854

20444563540 has 36 divisors (see below), whose sum is σ = 45312191316. Its totient is φ = 7747410816.

The previous prime is 20444563507. The next prime is 20444563547. The reversal of 20444563540 is 4536544402.

It can be written as a sum of positive squares in 2 ways, for example, as 8359079184 + 12085484356 = 91428^2 + 109934^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20444563540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444563547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1408609 + ... + 1423048.

It is an arithmetic number, because the mean of its divisors is an integer number (1258671981).

Almost surely, 220444563540 is an apocalyptic number.

20444563540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20444563540 is an abundant number, since it is smaller than the sum of its proper divisors (24867627776).

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

20444563540 is a wasteful number, since it uses less digits than its factorization.

20444563540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831704 (or 2831683 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

The spelling of 20444563540 in words is "twenty billion, four hundred forty-four million, five hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 2831657 5663314 11326628 14158285 28316570 53801483 56633140 107602966 215205932 269007415 538014830 1022228177 1076029660 2044456354 4088912708 5111140885 10222281770 20444563540