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1668921099228 = 223459119373181
BaseRepresentation
bin11000010010010011011…
…100110000001111011100
312220112202222111002020000
4120102103130300033130
5204320422300133403
63314405231054300
7231401264165265
oct30222334601734
95815688432200
101668921099228
115938704a7429
1222b546371390
13c14bc999566
145aac1cd796c
152d62c12a7a3
hex184937303dc

1668921099228 has 120 divisors (see below), whose sum is σ = 4440616432560. Its totient is φ = 546412227840.

The previous prime is 1668921099217. The next prime is 1668921099233. The reversal of 1668921099228 is 8229901298661.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22768798 + ... + 22841978.

It is an arithmetic number, because the mean of its divisors is an integer number (37005136938).

Almost surely, 21668921099228 is an apocalyptic number.

1668921099228 is a gapful number since it is divisible by the number (18) 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 1668921099228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220308216280).

1668921099228 is an abundant number, since it is smaller than the sum of its proper divisors (2771695333332).

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

1668921099228 is a wasteful number, since it uses less digits than its factorization.

1668921099228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74449 (or 74438 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 1668921099228 in words is "one trillion, six hundred sixty-eight billion, nine hundred twenty-one million, ninety-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 324 354 531 708 1062 1193 1593 2124 2386 3186 3579 4772 4779 6372 7158 9558 10737 14316 19116 21474 32211 42948 64422 70387 73181 96633 128844 140774 146362 193266 211161 219543 281548 292724 386532 422322 439086 633483 658629 844644 878172 1266966 1317258 1900449 1975887 2533932 2634516 3800898 3951774 4317679 5701347 5927661 7601796 7903548 8635358 11402694 11855322 12953037 17270716 22805388 23710644 25906074 38859111 51812148 77718222 87304933 116577333 155436444 174609866 233154666 261914799 349219732 349731999 466309332 523829598 699463998 785744397 1047659196 1398927996 1571488794 2357233191 3142977588 4714466382 5150991047 7071699573 9428932764 10301982094 14143399146 15452973141 20603964188 28286798292 30905946282 46358919423 61811892564 92717838846 139076758269 185435677692 278153516538 417230274807 556307033076 834460549614 1668921099228