Search a number
-
+
315069576993 = 32179721229673
BaseRepresentation
bin1001001010110111001…
…11000011011100100001
31010010020201222212010100
410211123213003130201
520130230302430433
6400424014253013
731522501134213
oct4453347033441
91103221885110
10315069576993
11111690620566
12510901b7169
1323931bc8a82
141136c6b85b3
1582e0668b13
hex495b9c3721

315069576993 has 24 divisors (see below), whose sum is σ = 486838884168. Its totient is φ = 195652657152.

The previous prime is 315069576977. The next prime is 315069577037. The reversal of 315069576993 is 399675960513.

315069576993 is a `hidden beast` number, since 3 + 1 + 50 + 6 + 9 + 576 + 9 + 9 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61262190144 + 253807386849 = 247512^2 + 503793^2 .

It is not a de Polignac number, because 315069576993 - 24 = 315069576977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 315069576993.

It is not an unprimeable number, because it can be changed into a prime (315069576953) 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, 10599996 + ... + 10629677.

It is an arithmetic number, because the mean of its divisors is an integer number (20284953507).

Almost surely, 2315069576993 is an apocalyptic number.

It is an amenable number.

315069576993 is a deficient number, since it is larger than the sum of its proper divisors (171769307175).

315069576993 is a wasteful number, since it uses less digits than its factorization.

315069576993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21229793 (or 21229790 counting only the distinct ones).

The product of its (nonzero) digits is 41334300, while the sum is 63.

The spelling of 315069576993 in words is "three hundred fifteen billion, sixty-nine million, five hundred seventy-six thousand, nine hundred ninety-three".

Divisors: 1 3 9 17 51 97 153 291 873 1649 4947 14841 21229673 63689019 191067057 360904441 1082713323 2059278281 3248139969 6177834843 18533504529 35007730777 105023192331 315069576993