Search a number
-
+
5945838606 = 23219233372243
BaseRepresentation
bin1011000100110011…
…00100110000001110
3120100101010220012200
411202121210300032
544134113313411
62421555542330
7300225536301
oct54231446016
916311126180
105945838606
1125812a8604
12119b2ba9a6
13739ab44c6
14405950b38
1524bed9e56
hex162664c0e

5945838606 has 96 divisors (see below), whose sum is σ = 14198595840. Its totient is φ = 1789869312.

The previous prime is 5945838601. The next prime is 5945838643. The reversal of 5945838606 is 6068385495.

It is a happy number.

5945838606 is a `hidden beast` number, since 59 + 4 + 583 + 8 + 6 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5945838601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2649721 + ... + 2651963.

It is an arithmetic number, because the mean of its divisors is an integer number (147902040).

Almost surely, 25945838606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5945838606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7099297920).

5945838606 is an abundant number, since it is smaller than the sum of its proper divisors (8252757234).

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

5945838606 is a wasteful number, since it uses less digits than its factorization.

5945838606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 5945838606 is about 77109.2640737804. The cubic root of 5945838606 is about 1811.6364031502.

The spelling of 5945838606 in words is "five billion, nine hundred forty-five million, eight hundred thirty-eight thousand, six hundred six".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 337 342 414 437 674 874 1011 1311 2022 2243 2622 3033 3933 4486 6066 6403 6729 7751 7866 12806 13458 15502 19209 20187 23253 38418 40374 42617 46506 51589 57627 69759 85234 103178 115254 127851 139518 147269 154767 255702 294538 309534 383553 441807 464301 755891 767106 883614 928602 980191 1325421 1511782 1960382 2267673 2650842 2940573 4535346 5881146 6803019 8821719 13606038 14361929 17385493 17643438 28723858 34770986 43085787 52156479 86171574 104312958 129257361 156469437 258514722 312938874 330324367 660648734 990973101 1981946202 2972919303 5945838606