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9016641936 = 24324121932
BaseRepresentation
bin10000110010110111…
…10000100110010000
3212021101101212110100
420121123300212100
5121431230020221
64050413532400
7436304122551
oct103133604620
925241355410
109016641936
1139077285a5
1218b77a4100
13b090590b3
14617708328
1537b8b7926
hex2196f0990

9016641936 has 135 divisors (see below), whose sum is σ = 25999258467. Its totient is φ = 2917048320.

The previous prime is 9016641929. The next prime is 9016641941. The reversal of 9016641936 is 6391466109.

The square root of 9016641936 is 94956.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4953344400 + 4063297536 = 70380^2 + 63744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9016641891 and 9016641900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46718256 + ... + 46718448.

Almost surely, 29016641936 is an apocalyptic number.

9016641936 is the 94956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9016641936

9016641936 is an abundant number, since it is smaller than the sum of its proper divisors (16982616531).

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

9016641936 is a wasteful number, since it uses less digits than its factorization.

9016641936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The cubic root of 9016641936 is about 2081.3651307249.

The spelling of 9016641936 in words is "nine billion, sixteen million, six hundred forty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 193 246 328 369 386 492 579 656 738 772 984 1158 1476 1544 1681 1737 1968 2316 2952 3088 3362 3474 4632 5043 5904 6724 6948 7913 9264 10086 13448 13896 15129 15826 20172 23739 26896 27792 30258 31652 37249 40344 47478 60516 63304 71217 74498 80688 94956 111747 121032 126608 142434 148996 189912 223494 242064 284868 297992 324433 335241 379824 446988 569736 595984 648866 670482 893976 973299 1139472 1297732 1340964 1527209 1787952 1946598 2595464 2681928 2919897 3054418 3893196 4581627 5190928 5363856 5839794 6108836 7786392 9163254 11679588 12217672 13744881 15572784 18326508 23359176 24435344 27489762 36653016 46718352 54979524 62615569 73306032 109959048 125231138 187846707 219918096 250462276 375693414 500924552 563540121 751386828 1001849104 1127080242 1502773656 2254160484 3005547312 4508320968 9016641936