Search a number
-
+
21778352046 = 232112292411993
BaseRepresentation
bin10100010010000101…
…110100011110101110
32002012202210220122100
4110102011310132232
5324100224231141
614001013355530
71400454636513
oct242205643656
962182726570
1021778352046
119266348260
124279638ba6
132090c58459
1410a856530a
15876e4a0b6
hex5121747ae

21778352046 has 96 divisors (see below), whose sum is σ = 51941466720. Its totient is φ = 6540134400.

The previous prime is 21778351967. The next prime is 21778352069. The reversal of 21778352046 is 64025387712.

21778352046 is a `hidden beast` number, since 2 + 1 + 7 + 7 + 83 + 520 + 46 = 666.

It is a super-2 number, since 2×217783520462 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21778351992 and 21778352010.

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 47 ways as a sum of consecutive naturals, for example, 10926426 + ... + 10928418.

It is an arithmetic number, because the mean of its divisors is an integer number (541056945).

Almost surely, 221778352046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21778352046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25970733360).

21778352046 is an abundant number, since it is smaller than the sum of its proper divisors (30163114674).

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

21778352046 is a wasteful number, since it uses less digits than its factorization.

21778352046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 21778352046 in words is "twenty-one billion, seven hundred seventy-eight million, three hundred fifty-two thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 229 241 458 482 687 723 1374 1446 1993 2061 2169 2519 2651 3986 4122 4338 5038 5302 5979 7557 7953 11958 15114 15906 17937 21923 22671 23859 35874 43846 45342 47718 55189 65769 110378 131538 165567 197307 331134 394614 456397 480313 496701 607079 912794 960626 993402 1214158 1369191 1440939 1821237 2738382 2881878 3642474 4107573 4322817 5020367 5283443 5463711 8215146 8645634 10040734 10566886 10927422 15061101 15850329 30122202 31700658 45183303 47550987 90366606 95101974 109991677 219983354 329975031 659950062 989925093 1209908447 1979850186 2419816894 3629725341 7259450682 10889176023 21778352046