Search a number
-
+
5957406006 = 232411341177
BaseRepresentation
bin1011000110001011…
…01100110100110110
3120101011220120200220
411203011230310312
544200043443011
62423051515210
7300426054426
oct54305546466
916334816626
105957406006
112587889342
1211a3158b06
1373c304616
144072c2486
1524d022506
hex16316cd36

5957406006 has 16 divisors (see below), whose sum is σ = 11915595504. Its totient is φ = 1985671424.

The previous prime is 5957405983. The next prime is 5957406023. The reversal of 5957406006 is 6006047595.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124090 + ... + 165266.

It is an arithmetic number, because the mean of its divisors is an integer number (744724719).

Almost surely, 25957406006 is an apocalyptic number.

5957406006 is an abundant number, since it is smaller than the sum of its proper divisors (5958189498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5957406006 is a wasteful number, since it uses less digits than its factorization.

5957406006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65295.

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 5957406006 is about 77184.2341803039. The cubic root of 5957406006 is about 1812.8104650636.

The spelling of 5957406006 in words is "five billion, nine hundred fifty-seven million, four hundred six thousand, six".

Divisors: 1 2 3 6 24113 41177 48226 72339 82354 123531 144678 247062 992901001 1985802002 2978703003 5957406006