Search a number
-
+
5077438084337 = 56965691358417
BaseRepresentation
bin100100111100010111011…
…1001001011010011110001
3122222101202101112101210212
41021320232321023103301
51131142043122144322
614444313131233505
71032555435421643
oct111705671132361
918871671471725
105077438084337
111688369480473
126a005b8a8895
132aaa534cba48
14137a6c194893
158c120d340e2
hex49e2ee4b4f1

5077438084337 has 8 divisors (see below), whose sum is σ = 5087139568200. Its totient is φ = 5067739331584.

The previous prime is 5077438084283. The next prime is 5077438084349. The reversal of 5077438084337 is 7334808347705.

It can be written as a sum of positive squares in 4 ways, for example, as 38665716496 + 5038772367841 = 196636^2 + 2244721^2 .

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 5077438084337 - 26 = 5077438084273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5077438084387) 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 7 ways as a sum of consecutive naturals, for example, 3058553 + ... + 4416969.

It is an arithmetic number, because the mean of its divisors is an integer number (635892446025).

Almost surely, 25077438084337 is an apocalyptic number.

It is an amenable number.

5077438084337 is a deficient number, since it is larger than the sum of its proper divisors (9701483863).

5077438084337 is a wasteful number, since it uses less digits than its factorization.

5077438084337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365555.

The product of its (nonzero) digits is 47416320, while the sum is 59.

The spelling of 5077438084337 in words is "five trillion, seventy-seven billion, four hundred thirty-eight million, eighty-four thousand, three hundred thirty-seven".

Divisors: 1 569 6569 1358417 3737761 772939273 8923441273 5077438084337