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20386413961 = 71220112
BaseRepresentation
bin10010111111000111…
…111111110110001001
31221121202122010112221
4102333013333312021
5313222410221321
613210531334041
71321123442134
oct227707776611
957552563487
1020386413961
118711665601
123b4b451321
131bcb770354
14db575121b
157e4b48e41
hex4bf1ffd89

20386413961 has 9 divisors (see below), whose sum is σ = 20687878029. Its totient is φ = 20089286700.

The previous prime is 20386413953. The next prime is 20386413973. The reversal of 20386413961 is 16931468302.

The square root of 20386413961 is 142781.

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

It is not a de Polignac number, because 20386413961 - 23 = 20386413953 is a prime.

It is a super-3 number, since 3×203864139613 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20386413361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10136446 + ... + 10138456.

Almost surely, 220386413961 is an apocalyptic number.

20386413961 is the 142781-st square number.

20386413961 is the 71391-st centered octagonal number.

It is an amenable number.

20386413961 is a deficient number, since it is larger than the sum of its proper divisors (301464068).

20386413961 is an frugal number, since it uses more digits than its factorization.

20386413961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 20386413961 in words is "twenty billion, three hundred eighty-six million, four hundred thirteen thousand, nine hundred sixty-one".

Divisors: 1 71 2011 5041 142781 4044121 10137451 287132591 20386413961