Search a number
-
+
5706161244 = 22327191378699
BaseRepresentation
bin1010101000001110…
…10001110001011100
3112201200011000200100
411110013101301130
543141234124434
62342114501100
7261255366420
oct52407216134
915650130610
105706161244
112468a85443
121132b94790
136cc247494
143c1ba0b80
15235e44699
hex1541d1c5c

5706161244 has 144 divisors (see below), whose sum is σ = 17480736000. Its totient is φ = 1533074688.

The previous prime is 5706161213. The next prime is 5706161261. The reversal of 5706161244 is 4421616075.

5706161244 is a `hidden beast` number, since 570 + 6 + 1 + 61 + 24 + 4 = 666.

It is a super-2 number, since 2×57061612442 = 65120552285055255072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5706161199 and 5706161208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651607 + ... + 660305.

It is an arithmetic number, because the mean of its divisors is an integer number (121394000).

Almost surely, 25706161244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5706161244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8740368000).

5706161244 is an abundant number, since it is smaller than the sum of its proper divisors (11774574756).

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

5706161244 is a wasteful number, since it uses less digits than its factorization.

5706161244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8872 (or 8867 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5706161244 is about 75539.1371674313. The cubic root of 5706161244 is about 1786.9593775052.

The spelling of 5706161244 in words is "five billion, seven hundred six million, one hundred sixty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 137 171 228 252 266 274 342 399 411 532 548 684 798 822 959 1197 1233 1596 1644 1918 2394 2466 2603 2877 3836 4788 4932 5206 5754 7809 8631 8699 10412 11508 15618 17262 17398 18221 23427 26097 31236 34524 34796 36442 46854 52194 54663 60893 72884 78291 93708 104388 109326 121786 156582 163989 165281 182679 218652 243572 313164 327978 330562 365358 495843 548037 655956 661124 730716 991686 1096074 1156967 1191763 1487529 1983372 2192148 2313934 2383526 2975058 3470901 3575289 4627868 4767052 5950116 6941802 7150578 8342341 10412703 10725867 13883604 14301156 16684682 20825406 21451734 22643497 25027023 33369364 41650812 42903468 45286994 50054046 67930491 75081069 90573988 100108092 135860982 150162138 158504479 203791473 271721964 300324276 317008958 407582946 475513437 634017916 815165892 951026874 1426540311 1902053748 2853080622 5706161244