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4226312064 = 273131749801
BaseRepresentation
bin1111101111101000…
…0110011110000000
3101220112112220020110
43323322012132000
532123413441224
61535212311320
7206506026342
oct37372063600
911815486213
104226312064
111879708897
1299b472540
1352478c190
142c1425292
1519b07a929
hexfbe86780

4226312064 has 128 divisors (see below), whose sum is σ = 12801106080. Its totient is φ = 1223884800.

The previous prime is 4226312033. The next prime is 4226312107. The reversal of 4226312064 is 4602136224.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59964 + ... + 109764.

Almost surely, 24226312064 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 4226312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400553040).

4226312064 is an abundant number, since it is smaller than the sum of its proper divisors (8574794016).

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

4226312064 is a wasteful number, since it uses less digits than its factorization.

4226312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49848 (or 49836 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4226312064 is about 65010.0920165477. The cubic root of 4226312064 is about 1616.7908914970.

Adding to 4226312064 its reverse (4602136224), we get a palindrome (8828448288).

The spelling of 4226312064 in words is "four billion, two hundred twenty-six million, three hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 312 384 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3536 4992 5304 6528 7072 10608 14144 21216 28288 42432 49801 84864 99602 149403 199204 298806 398408 597612 647413 796816 846617 1195224 1294826 1593632 1693234 1942239 2390448 2539851 2589652 3187264 3386468 3884478 4780896 5079702 5179304 6374528 6772936 7768956 9561792 10159404 10358608 11006021 13545872 15537912 19123584 20318808 20717216 22012042 27091744 31075824 33018063 40637616 41434432 44024084 54183488 62151648 66036126 81275232 82868864 88048168 108366976 124303296 132072252 162550464 176096336 248606592 264144504 325100928 352192672 528289008 704385344 1056578016 1408770688 2113156032 4226312064