Search a number
-
+
5112150032232 = 23324112171422973
BaseRepresentation
bin100101001100100001111…
…1000101111111101101000
3200002201100112012001112200
41022121003320233331220
51132224140402012412
614512253404540200
71035224562210135
oct112310370577550
920081315161480
105112150032232
1116a1061468711
126a6928851660
132b10c5b48c99
1413960231b58c
158cea34659dc
hex4a643e2ff68

5112150032232 has 96 divisors (see below), whose sum is σ = 14194763299080. Its totient is φ = 1661120593920.

The previous prime is 5112150032207. The next prime is 5112150032237. The reversal of 5112150032232 is 2322300512115.

5112150032232 is a `hidden beast` number, since 5 + 1 + 121 + 500 + 3 + 2 + 2 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1607788496196 + 3504361536036 = 1267986^2 + 1871994^2 .

It is a super-2 number, since 2×51121500322322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5112150032196 and 5112150032205.

It is not an unprimeable number, because it can be changed into a prime (5112150032237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2881098 + ... + 4304070.

Almost surely, 25112150032232 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 5112150032232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097381649540).

5112150032232 is an abundant number, since it is smaller than the sum of its proper divisors (9082613266848).

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

5112150032232 is a wasteful number, since it uses less digits than its factorization.

5112150032232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424243 (or 1424236 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 5112150032232 its reverse (2322300512115), we get a palindrome (7434450544347).

The spelling of 5112150032232 in words is "five trillion, one hundred twelve billion, one hundred fifty million, thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1217 1476 2434 2952 3651 4868 7302 9736 10953 14604 21906 29208 43812 49897 87624 99794 149691 199588 299382 399176 449073 598764 898146 1197528 1422973 1796292 2845946 3592584 4268919 5691892 8537838 11383784 12806757 17075676 25613514 34151352 51227028 58341893 102454056 116683786 175025679 233367572 350051358 466735144 525077037 700102716 1050154074 1400205432 1731758141 2100308148 3463516282 4200616296 5195274423 6927032564 10390548846 13854065128 15585823269 20781097692 31171646538 41562195384 62343293076 71002083781 124686586152 142004167562 213006251343 284008335124 426012502686 568016670248 639018754029 852025005372 1278037508058 1704050010744 2556075016116 5112150032232