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20042052500 = 225473310937
BaseRepresentation
bin10010101010100110…
…010111001110010100
31220201202122202102202
4102222212113032110
5312021231140000
613112430424032
71306442430641
oct225246271624
956652582382
1020042052500
118555241758
123a74062018
131b7530c782
14d81b10dc8
157c47c5dd5
hex4aa997394

20042052500 has 60 divisors (see below), whose sum is σ = 43891765764. Its totient is φ = 8005152000.

The previous prime is 20042052491. The next prime is 20042052517. The reversal of 20042052500 is 525024002.

It can be written as a sum of positive squares in 10 ways, for example, as 3999803536 + 16042248964 = 63244^2 + 126658^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1827032 + ... + 1837968.

Almost surely, 220042052500 is an apocalyptic number.

20042052500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20042052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21945882882).

20042052500 is an abundant number, since it is smaller than the sum of its proper divisors (23849713264).

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

20042052500 is a wasteful number, since it uses less digits than its factorization.

20042052500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11694 (or 11677 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

Adding to 20042052500 its reverse (525024002), we get a palindrome (20567076502).

The spelling of 20042052500 in words is "twenty billion, forty-two million, fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 733 1250 1466 2500 2932 3665 7330 10937 14660 18325 21874 36650 43748 54685 73300 91625 109370 183250 218740 273425 366500 458125 546850 916250 1093700 1367125 1832500 2734250 5468500 6835625 8016821 13671250 16033642 27342500 32067284 40084105 80168210 160336420 200420525 400841050 801682100 1002102625 2004205250 4008410500 5010513125 10021026250 20042052500