Search a number
-
+
5165700210 = 2335116128513
BaseRepresentation
bin1001100111110011…
…00101010001110010
3111100000011202112000
410303321211101302
541034404401320
62212330514430
7242003504316
oct46371452162
914300152460
105165700210
1122109a3030
121001b95a16
13644296a58
143700b5b46
15203787c90
hex133e65472

5165700210 has 128 divisors (see below), whose sum is σ = 15274379520. Its totient is φ = 1231718400.

The previous prime is 5165700191. The next prime is 5165700301. The reversal of 5165700210 is 120075615.

5165700210 is a `hidden beast` number, since 5 + 1 + 657 + 0 + 0 + 2 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 166914 + ... + 195426.

It is an arithmetic number, because the mean of its divisors is an integer number (119331090).

Almost surely, 25165700210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5165700210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637189760).

5165700210 is an abundant number, since it is smaller than the sum of its proper divisors (10108679310).

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

5165700210 is a wasteful number, since it uses less digits than its factorization.

5165700210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28601 (or 28595 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 5165700210 is about 71872.8057752026. The cubic root of 5165700210 is about 1728.6605969171.

Adding to 5165700210 its reverse (120075615), we get a palindrome (5285775825).

The spelling of 5165700210 in words is "five billion, one hundred sixty-five million, seven hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 61 66 90 99 110 122 135 165 183 198 270 297 305 330 366 495 549 594 610 671 915 990 1098 1342 1485 1647 1830 2013 2745 2970 3294 3355 4026 5490 6039 6710 8235 10065 12078 16470 18117 20130 28513 30195 36234 57026 60390 85539 90585 142565 171078 181170 256617 285130 313643 427695 513234 627286 769851 855390 940929 1283085 1539702 1568215 1739293 1881858 2566170 2822787 3136430 3478586 3849255 4704645 5217879 5645574 7698510 8468361 8696465 9409290 10435758 14113935 15653637 16936722 17392930 19132223 26089395 28227870 31307274 38264446 42341805 46960911 52178790 57396669 78268185 84683610 93921822 95661115 114793338 156536370 172190007 191322230 234804555 286983345 344380014 469609110 516570021 573966690 860950035 1033140042 1721900070 2582850105 5165700210