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23331014630664 = 233131918232158931
BaseRepresentation
bin1010100111000001011001…
…10101101101110100001000
310001121102102112011021211120
411103200230311231310020
511024223404221140124
6121342041541555240
74625416202145156
oct523405465556410
9101542375137746
1023331014630664
11748569a580084
122749859715b20
13100314a297cb0
145a932737a3d6
152a6d5e9d3d79
hex15382cd6dd08

23331014630664 has 128 divisors (see below), whose sum is σ = 66156585062400. Its totient is φ = 6797209754880.

The previous prime is 23331014630657. The next prime is 23331014630669. The reversal of 23331014630664 is 46603641013332.

It is not an unprimeable number, because it can be changed into a prime (23331014630669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9727279 + ... + 11886209.

It is an arithmetic number, because the mean of its divisors is an integer number (516848320800).

Almost surely, 223331014630664 is an apocalyptic number.

23331014630664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23331014630664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33078292531200).

23331014630664 is an abundant number, since it is smaller than the sum of its proper divisors (42825570431736).

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

23331014630664 is a wasteful number, since it uses less digits than its factorization.

23331014630664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160795 (or 2160791 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

Adding to 23331014630664 its reverse (46603641013332), we get a palindrome (69934655643996).

The spelling of 23331014630664 in words is "twenty-three trillion, three hundred thirty-one billion, fourteen million, six hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1823 1976 2964 3646 5469 5928 7292 10938 14584 21876 23699 34637 43752 47398 69274 71097 94796 103911 138548 142194 189592 207822 277096 284388 415644 450281 568776 831288 900562 1350843 1801124 2158931 2701686 3602248 4317862 5403372 6476793 8635724 10806744 12953586 17271448 25907172 28066103 41019689 51814344 56132206 82039378 84198309 112264412 123059067 164078756 168396618 224528824 246118134 328157512 336793236 492236268 533255957 673586472 984472536 1066511914 1599767871 2133023828 3199535742 3935731213 4266047656 6399071484 7871462426 11807193639 12798142968 15742924852 23614387278 31485849704 47228774556 51164505769 74778893047 94457549112 102329011538 149557786094 153493517307 204658023076 224336679141 299115572188 306987034614 409316046152 448673358282 598231144376 613974069228 897346716564 972125609611 1227948138456 1794693433128 1944251219222 2916376828833 3888502438444 5832753657666 7777004876888 11665507315332 23331014630664