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200668913622 = 233311131278353
BaseRepresentation
bin1011101011100011001…
…1001001111111010110
3201011221221222000111000
42322320303021333112
511241432220213442
6232104103124130
720332522423332
oct2727063117726
9634857860430
10200668913622
1178115408981
1232a83743646
1315bcca95c58
1499d8c867c2
155347055d4c
hex2eb8cc9fd6

200668913622 has 128 divisors (see below), whose sum is σ = 468102021120. Its totient is φ = 63646248960.

The previous prime is 200668913567. The next prime is 200668913623. The reversal of 200668913622 is 226319866002.

200668913622 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 6 + 8 + 9 + 13 + 622 = 666.

200668913622 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200668913623) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 24019398 + ... + 24027750.

It is an arithmetic number, because the mean of its divisors is an integer number (3657047040).

Almost surely, 2200668913622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200668913622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234051010560).

200668913622 is an abundant number, since it is smaller than the sum of its proper divisors (267433107498).

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

200668913622 is a wasteful number, since it uses less digits than its factorization.

200668913622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8635 (or 8629 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 200668913622 in words is "two hundred billion, six hundred sixty-eight million, nine hundred thirteen thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 113 127 186 226 254 279 339 381 558 678 762 837 1017 1143 1674 2034 2286 3051 3429 3503 3937 6102 6858 7006 7874 8353 10509 11811 14351 16706 21018 23622 25059 28702 31527 35433 43053 50118 63054 70866 75177 86106 94581 106299 129159 150354 189162 212598 225531 258318 258943 387477 444881 451062 517886 774954 776829 889762 943889 1060831 1334643 1553658 1887778 2121662 2330487 2669286 2831667 3182493 4003929 4660974 5663334 6364986 6991461 8007858 8495001 9547479 12011787 13982922 16990002 19094958 24023574 25485003 28642437 29260559 32885761 50970006 57284874 58521118 65771522 87781677 98657283 119873903 175563354 197314566 239747806 263345031 295971849 359621709 526690062 591943698 719243418 790035093 887915547 1078865127 1580070186 1775831094 2157730254 3236595381 3716090993 6473190762 7432181986 11148272979 22296545958 33444818937 66889637874 100334456811 200668913622