Search a number
-
+
51605788097 = 1011613316769
BaseRepresentation
bin110000000011111100…
…011101010111000001
311221012111101122210002
4300003330131113001
51321142040204342
635412443045345
73504560650463
oct600374352701
9157174348702
1051605788097
111a982138456
12a002810855
134b356511b6
1426d7ad0133
151520838d32
hexc03f1d5c1

51605788097 has 8 divisors (see below), whose sum is σ = 52149211560. Its totient is φ = 51063001600.

The previous prime is 51605788061. The next prime is 51605788111. The reversal of 51605788097 is 79088750615.

It can be written as a sum of positive squares in 4 ways, for example, as 13493377921 + 38112410176 = 116161^2 + 195224^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 51605788097 - 28 = 51605787841 is a prime.

It is a super-2 number, since 2×516057880972 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51605088097) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4529 + ... + 321297.

It is an arithmetic number, because the mean of its divisors is an integer number (6518651445).

Almost surely, 251605788097 is an apocalyptic number.

It is an amenable number.

51605788097 is a deficient number, since it is larger than the sum of its proper divisors (543423463).

51605788097 is a wasteful number, since it uses less digits than its factorization.

51605788097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318483.

The product of its (nonzero) digits is 4233600, while the sum is 56.

The spelling of 51605788097 in words is "fifty-one billion, six hundred five million, seven hundred eighty-eight thousand, ninety-seven".

Divisors: 1 101 1613 162913 316769 31993669 510948397 51605788097