Search a number
-
+
5313121216 = 26137099007
BaseRepresentation
bin1001111001010111…
…11100101111000000
3111201021120112010021
410330223330233000
541340124334331
62235114343224
7245443533214
oct47453745700
914637515107
105313121216
112287133677
12104342ab14
136689a1b10
143858cc944
152116a8211
hex13cafcbc0

5313121216 has 56 divisors (see below), whose sum is σ = 11371519040. Its totient is φ = 2448479232.

The previous prime is 5313121213. The next prime is 5313121223. The reversal of 5313121216 is 6121213135.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5313121213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585385 + ... + 594391.

It is an arithmetic number, because the mean of its divisors is an integer number (203062840).

Almost surely, 25313121216 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 5313121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685759520).

5313121216 is an abundant number, since it is smaller than the sum of its proper divisors (6058397824).

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

5313121216 is a wasteful number, since it uses less digits than its factorization.

5313121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9741 (or 9731 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 5313121216 is about 72891.1600675967. The cubic root of 5313121216 is about 1744.9510215780.

It can be divided in two parts, 53131 and 21216, that added together give a palindrome (74347).

The spelling of 5313121216 in words is "five billion, three hundred thirteen million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 709 832 1418 2836 5672 9007 9217 11344 18014 18434 22688 36028 36868 45376 72056 73736 117091 144112 147472 234182 288224 294944 468364 576448 589888 936728 1873456 3746912 6385963 7493824 12771926 25543852 51087704 83017519 102175408 166035038 204350816 332070076 408701632 664140152 1328280304 2656560608 5313121216