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64322644622346 = 23311375006958453
BaseRepresentation
bin11101010000000010010000…
…11000100011110000001010
322102202011222200212020202000
432220001020120203300022
531412330234010403341
6344445225350251430
716356105045121305
oct1650011030436012
9272664880766660
1064322644622346
111954a0980019a0
12726a1ab656b76
1329b77a3a47b36
1411c53383d9b3c
157682a622e8b6
hex3a8048623c0a

64322644622346 has 128 divisors (see below), whose sum is σ = 160154046201600. Its totient is φ = 18964204289280.

The previous prime is 64322644622329. The next prime is 64322644622351.

64322644622346 is a `hidden beast` number, since 6 + 4 + 3 + 2 + 2 + 6 + 4 + 4 + 622 + 3 + 4 + 6 = 666.

64322644622346 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×643226446223462 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64322644622292 and 64322644622301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1100387256 + ... + 1100445708.

It is an arithmetic number, because the mean of its divisors is an integer number (1251203485950).

Almost surely, 264322644622346 is an apocalyptic number.

64322644622346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64322644622346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80077023100800).

64322644622346 is an abundant number, since it is smaller than the sum of its proper divisors (95831401579254).

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

64322644622346 is a wasteful number, since it uses less digits than its factorization.

64322644622346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108581 (or 108575 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 64322644622346 in words is "sixty-four trillion, three hundred twenty-two billion, six hundred forty-four million, six hundred twenty-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 297 333 407 594 666 814 999 1221 1998 2442 3663 7326 10989 21978 50069 58453 100138 116906 150207 175359 300414 350718 450621 526077 550759 642983 901242 1052154 1101518 1285966 1351863 1578231 1652277 1852553 1928949 2162761 2703726 3156462 3304554 3705106 3857898 4325522 4956831 5557659 5786847 6488283 9913662 11115318 11573694 12976566 14870493 16672977 17360541 19464849 20378083 23790371 29740986 33345954 34721082 38929698 40756166 47580742 50018931 58394547 61134249 71371113 100037862 116789094 122268498 142742226 183402747 214113339 366805494 428226678 550208241 642340017 1100416482 1284680034 2926683257 5853366514 8780049771 17560099542 26340149313 32193515827 52680298626 64387031654 79020447939 96580547481 108287280509 158040895878 193161094962 216574561018 289741642443 324861841527 579483284886 649723683054 869224927329 974585524581 1191160085599 1738449854658 1949171049162 2382320171198 2923756573743 3573480256797 5847513147486 7146960513594 10720440770391 21440881540782 32161322311173 64322644622346