Search a number
-
+
5406663576385 = 517237101125289
BaseRepresentation
bin100111010101101011001…
…0000110000101101000001
3201010212112200101020202101
41032223112100300231001
51202040321333421020
615255441552150401
71065422110061431
oct116532620605501
921125480336671
105406663576385
1117a4a53701485
12733a20838401
13302b000c69c6
141499809302c1
159598e12d00a
hex4ead6430b41

5406663576385 has 24 divisors (see below), whose sum is σ = 7078365798840. Its totient is φ = 3960875280384.

The previous prime is 5406663576329. The next prime is 5406663576389. The reversal of 5406663576385 is 5836753666045.

It can be written as a sum of positive squares in 12 ways, for example, as 19246567824 + 5387417008561 = 138732^2 + 2321081^2 .

It is not a de Polignac number, because 5406663576385 - 231 = 5404516092737 is a prime.

It is a super-2 number, since 2×54066635763852 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5406663576389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50509180 + ... + 50616109.

It is an arithmetic number, because the mean of its divisors is an integer number (294931908285).

Almost surely, 25406663576385 is an apocalyptic number.

It is an amenable number.

5406663576385 is a deficient number, since it is larger than the sum of its proper divisors (1671702222455).

5406663576385 is a wasteful number, since it uses less digits than its factorization.

5406663576385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101125365 (or 101125348 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 64.

The spelling of 5406663576385 in words is "five trillion, four hundred six billion, six hundred sixty-three million, five hundred seventy-six thousand, three hundred eighty-five".

Divisors: 1 5 17 37 85 185 289 629 1445 3145 10693 53465 101125289 505626445 1719129913 3741635693 8595649565 18708178465 29225208521 63607806781 146126042605 318039033905 1081332715277 5406663576385