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20440362690 = 23351183283293
BaseRepresentation
bin10011000010010101…
…110010111011000010
31221202112011000022000
4103002111302323002
5313330213101230
613220135524430
71322350134066
oct230225627302
957675130260
1020440362690
11873a063030
123b65529716
131c099abb87
14dbc995aa6
157e9753b60
hex4c2572ec2

20440362690 has 256 divisors, whose sum is σ = 60598056960. Its totient is φ = 4861589760.

The previous prime is 20440362661. The next prime is 20440362707. The reversal of 20440362690 is 9626304402.

20440362690 is a `hidden beast` number, since 20 + 4 + 4 + 0 + 3 + 626 + 9 + 0 = 666.

It is a super-2 number, since 2×204403626902 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69762184 + ... + 69762476.

It is an arithmetic number, because the mean of its divisors is an integer number (236711160).

Almost surely, 220440362690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20440362690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30299028480).

20440362690 is an abundant number, since it is smaller than the sum of its proper divisors (40157694270).

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

20440362690 is a wasteful number, since it uses less digits than its factorization.

20440362690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 20440362690 in words is "twenty billion, four hundred forty million, three hundred sixty-two thousand, six hundred ninety".