Search a number
-
+
5685168016 = 24111712831481
BaseRepresentation
bin1010100101101110…
…01100011110010000
3112200012122110101101
411102313030132100
543120400334031
62340044514144
7260612062603
oct52267143620
915605573341
105685168016
112458146970
121127b4b954
136c7aa6c58
143bd09833a
15234199361
hex152dcc790

5685168016 has 80 divisors (see below), whose sum is σ = 12741738048. Its totient is φ = 2428620800.

The previous prime is 5685167989. The next prime is 5685168017. The reversal of 5685168016 is 6108615865.

It is a super-2 number, since 2×56851680162 = 64642270740298752512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5685168017) 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, 3837996 + ... + 3839476.

Almost surely, 25685168016 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 5685168016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370869024).

5685168016 is an abundant number, since it is smaller than the sum of its proper divisors (7056570032).

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

5685168016 is a wasteful number, since it uses less digits than its factorization.

5685168016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The square root of 5685168016 is about 75400.0531564799. The cubic root of 5685168016 is about 1784.7652494630.

The spelling of 5685168016 in words is "five billion, six hundred eighty-five million, one hundred sixty-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1283 1481 1496 2566 2962 2992 5132 5924 10264 11848 14113 16291 20528 21811 23696 25177 28226 32582 43622 50354 56452 65164 87244 100708 112904 130328 174488 201416 225808 239921 260656 276947 348976 402832 479842 553894 959684 1107788 1900123 1919368 2215576 3800246 3838736 4431152 7600492 15200984 20901353 30401968 32302091 41802706 64604182 83605412 129208364 167210824 258416728 334421648 355323001 516833456 710646002 1421292004 2842584008 5685168016