Search a number
-
+
21439393566768 = 2433102148607469
BaseRepresentation
bin1001101111111101111110…
…11100000001000000110000
32210220120211012101211122000
410313332333130001000300
510302230334223114033
6113333042121414000
74341642105330552
oct467767734010060
983816735354560
1021439393566768
116916439821081
1224a312163a300
13bc6959431318
1454195a6954d2
15272a4b63da13
hex137fbf701030

21439393566768 has 80 divisors (see below), whose sum is σ = 61599274581600. Its totient is φ = 7139464899840.

The previous prime is 21439393566749. The next prime is 21439393566797. The reversal of 21439393566768 is 86766539393412.

21439393566768 is a `hidden beast` number, since 2 + 1 + 439 + 39 + 35 + 66 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 21439393566696 and 21439393566705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23862663 + ... + 24744806.

It is an arithmetic number, because the mean of its divisors is an integer number (769990932270).

Almost surely, 221439393566768 is an apocalyptic number.

It is an amenable number.

21439393566768 is an abundant number, since it is smaller than the sum of its proper divisors (40159881014832).

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

21439393566768 is a wasteful number, since it uses less digits than its factorization.

21439393566768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48608507 (or 48608495 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 21439393566768 in words is "twenty-one trillion, four hundred thirty-nine billion, three hundred ninety-three million, five hundred sixty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1021 2042 3063 4084 6126 8168 9189 12252 16336 18378 24504 27567 36756 49008 55134 73512 110268 147024 220536 441072 48607469 97214938 145822407 194429876 291644814 388859752 437467221 583289628 777719504 874934442 1166579256 1312401663 1749868884 2333158512 2624803326 3499737768 5249606652 6999475536 10499213304 20998426608 49628225849 99256451698 148884677547 198512903396 297769355094 397025806792 446654032641 595538710188 794051613584 893308065282 1191077420376 1339962097923 1786616130564 2382154840752 2679924195846 3573232261128 5359848391692 7146464522256 10719696783384 21439393566768