Search a number
-
+
385368358049 = 472174453761
BaseRepresentation
bin1011001101110011011…
…11100111110010100001
31100211200222112221112222
411212321233213302201
522303213244424144
6453011421200425
736561533665523
oct5467157476241
91324628487488
10385368358049
11139485434224
126282b100115
132a45620543c
141491ac67a13
15a0570e72ee
hex59b9be7ca1

385368358049 has 6 divisors (see below), whose sum is σ = 393742140834. Its totient is φ = 377169029120.

The previous prime is 385368357947. The next prime is 385368358079. The reversal of 385368358049 is 940853863583.

It can be written as a sum of positive squares in only one way, i.e., 284869847824 + 100498510225 = 533732^2 + 317015^2 .

It is not a de Polignac number, because 385368358049 - 220 = 385367309473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 385368357982 and 385368358000.

It is not an unprimeable number, because it can be changed into a prime (385368358079) 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 5 ways as a sum of consecutive naturals, for example, 87224672 + ... + 87229089.

It is an arithmetic number, because the mean of its divisors is an integer number (65623690139).

Almost surely, 2385368358049 is an apocalyptic number.

It is an amenable number.

385368358049 is a deficient number, since it is larger than the sum of its proper divisors (8373782785).

385368358049 is an equidigital number, since it uses as much as digits as its factorization.

385368358049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174453855 (or 174453808 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 62.

The spelling of 385368358049 in words is "three hundred eighty-five billion, three hundred sixty-eight million, three hundred fifty-eight thousand, forty-nine".

Divisors: 1 47 2209 174453761 8199326767 385368358049