Search a number
-
+
5957609919 = 341103470251
BaseRepresentation
bin1011000110001100…
…11110100110111111
3120101012021221102020
411203012132212333
544200122004134
62423100131223
7300430564062
oct54306364677
916335257366
105957609919
112587a08568
1211a3236b13
1373c376391
144073368d9
1524d062b49
hex16319e9bf

5957609919 has 16 divisors (see below), whose sum is σ = 8216242944. Its totient is φ = 3837240000.

The previous prime is 5957609899. The next prime is 5957609953. The reversal of 5957609919 is 9199067595.

5957609919 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-5957609919 is a prime.

It is a super-2 number, since 2×59576099192 = 70986231893934373122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5957608919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222457 + ... + 247794.

It is an arithmetic number, because the mean of its divisors is an integer number (513515184).

Almost surely, 25957609919 is an apocalyptic number.

5957609919 is a deficient number, since it is larger than the sum of its proper divisors (2258633025).

5957609919 is a wasteful number, since it uses less digits than its factorization.

5957609919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470398.

The product of its (nonzero) digits is 6889050, while the sum is 60.

The square root of 5957609919 is about 77185.5551188174. Note that the first 3 decimals coincide. The cubic root of 5957609919 is about 1812.8311480814.

The spelling of 5957609919 in words is "five billion, nine hundred fifty-seven million, six hundred nine thousand, nine hundred nineteen".

Divisors: 1 3 41 103 123 309 4223 12669 470251 1410753 19280291 48435853 57840873 145307559 1985869973 5957609919