Search a number
-
+
81324210276 = 223652812
BaseRepresentation
bin100101110111101001…
…1001111100001100100
321202220121211221000000
41023233103033201210
52313022444212101
6101205420021300
75606201244651
oct1135723174144
9252817757000
1081324210276
113154243a941
1213917391830
1378905986aa
143d1699cc28
1521ae892486
hex12ef4cf864

81324210276 has 63 divisors (see below), whose sum is σ = 213418853193. Its totient is φ = 27102936960.

The previous prime is 81324210259. The next prime is 81324210293. The reversal of 81324210276 is 67201242318.

It is a happy number.

The square root of 81324210276 is 285174.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (81324210259) and next prime (81324210293).

It can be written as a sum of positive squares in only one way, i.e., 10738347876 + 70585862400 = 103626^2 + 265680^2 .

It is a super-3 number, since 3×813242102763 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 81324210276.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 15396756 + ... + 15402036.

Almost surely, 281324210276 is an apocalyptic number.

81324210276 is the 285174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81324210276

81324210276 is an abundant number, since it is smaller than the sum of its proper divisors (132094642917).

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

81324210276 is an frugal number, since it uses more digits than its factorization.

81324210276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10584 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 81324210276 by its sum of digits (36), we get a square (2927671569936 = 17110442).

81324210276 divided by its sum of digits (36) gives a square (2259005841 = 475292).

It can be divided in two parts, 81324 and 210276, that added together give a square (291600 = 5402).

The spelling of 81324210276 in words is "eighty-one billion, three hundred twenty-four million, two hundred ten thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 5281 10562 15843 21124 31686 47529 63372 95058 142587 190116 285174 427761 570348 855522 1283283 1711044 2566566 3849849 5133132 7699698 15399396 27888961 55777922 83666883 111555844 167333766 251000649 334667532 502001298 753001947 1004002596 1506003894 2259005841 3012007788 4518011682 6777017523 9036023364 13554035046 20331052569 27108070092 40662105138 81324210276