Search a number
-
+
7985156515897 = 112449146977793
BaseRepresentation
bin111010000110011000001…
…1010101110100000111001
31001021101002021202021121211
41310030300122232200321
52021312100032002042
624552155200403121
71452623423325331
oct164146032564071
931241067667554
107985156515897
1125a9538753a00
12a8b6b09164a1
1345bcc6618a82
141d86ab15c0c1
15dcaa3c6b017
hex743306ae839

7985156515897 has 12 divisors (see below), whose sum is σ = 8796620970900. Its totient is φ = 7243065589760.

The previous prime is 7985156515883. The next prime is 7985156516063.

7985156515897 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2283133088016 + 5702023427881 = 1511004^2 + 2387891^2 .

It is not a de Polignac number, because 7985156515897 - 211 = 7985156513849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7985156515097) 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, 73434568 + ... + 73543225.

It is an arithmetic number, because the mean of its divisors is an integer number (733051747575).

Almost surely, 27985156515897 is an apocalyptic number.

It is an amenable number.

7985156515897 is a deficient number, since it is larger than the sum of its proper divisors (811464455003).

7985156515897 is a wasteful number, since it uses less digits than its factorization.

7985156515897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146978264 (or 146978253 counting only the distinct ones).

The product of its digits is 952560000, while the sum is 76.

The spelling of 7985156515897 in words is "seven trillion, nine hundred eighty-five billion, one hundred fifty-six million, five hundred fifteen thousand, eight hundred ninety-seven".

Divisors: 1 11 121 449 4939 54329 146977793 1616755723 17784312953 65993029057 725923319627 7985156515897