Search a number
-
+
36212444324 = 22724311513733
BaseRepresentation
bin100001101110011011…
…100000110010100100
310110110201002202212122
4201232123200302210
51043130341204244
624345154205112
72421243461300
oct415633406244
9113421082778
1036212444324
11143a2a87441
127027583798
133551484464
141a77558d00
15e1e2281ee
hex86e6e0ca4

36212444324 has 72 divisors (see below), whose sum is σ = 75518327808. Its totient is φ = 15141470400.

The previous prime is 36212444321. The next prime is 36212444341. The reversal of 36212444324 is 42344421263.

It is a super-2 number, since 2×362124443242 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36212444321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9698762 + ... + 9702494.

It is an arithmetic number, because the mean of its divisors is an integer number (1048865664).

Almost surely, 236212444324 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 36212444324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37759163904).

36212444324 is an abundant number, since it is smaller than the sum of its proper divisors (39305883484).

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

36212444324 is a wasteful number, since it uses less digits than its factorization.

36212444324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4936 counting only the distinct ones).

The product of its digits is 110592, while the sum is 35.

Adding to 36212444324 its reverse (42344421263), we get a palindrome (78556865587).

The spelling of 36212444324 in words is "thirty-six billion, two hundred twelve million, four hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 602 1151 1204 2107 2302 3733 4214 4604 7466 8057 8428 14932 16114 26131 32228 49493 52262 56399 98986 104524 112798 160519 182917 197972 225596 321038 346451 365834 642076 692902 731668 1123633 1385804 2247266 2425157 4296683 4494532 4850314 7865431 8593366 9700628 15730862 17186732 30076781 31461724 60153562 120307124 184757369 210537467 369514738 421074934 739029476 842149868 1293301583 2586603166 5173206332 9053111081 18106222162 36212444324