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14332641664 = 271124321521
BaseRepresentation
bin11010101100100101…
…01100000110000000
31100222212101122011011
431112102230012000
5213323124013124
610330114130304
71015114305205
oct152622540600
940885348134
1014332641664
116095447900
12293bb80994
1314754c8173
1499d745cac
1558d43d994
hex3564ac180

14332641664 has 96 divisors (see below), whose sum is σ = 32116419720. Its totient is φ = 6363033600.

The previous prime is 14332641623. The next prime is 14332641677. The reversal of 14332641664 is 46614623341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 655224 + ... + 676744.

Almost surely, 214332641664 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 14332641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16058209860).

14332641664 is an abundant number, since it is smaller than the sum of its proper divisors (17783778056).

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

14332641664 is a wasteful number, since it uses less digits than its factorization.

14332641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21600 (or 21577 counting only the distinct ones).

The product of its digits is 248832, while the sum is 40.

The spelling of 14332641664 in words is "fourteen billion, three hundred thirty-two million, six hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 121 128 172 176 242 344 352 473 484 688 704 946 968 1376 1408 1892 1936 2752 3784 3872 5203 5504 7568 7744 10406 15136 15488 20812 21521 30272 41624 43042 60544 83248 86084 166496 172168 236731 332992 344336 473462 665984 688672 925403 946924 1377344 1850806 1893848 2604041 2754688 3701612 3787696 5208082 7403224 7575392 10179433 10416164 14806448 15150784 20358866 20832328 29612896 30301568 40717732 41664656 59225792 81435464 83329312 111973763 118451584 162870928 166658624 223947526 325741856 333317248 447895052 651483712 895790104 1302967424 1791580208 3583160416 7166320832 14332641664