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66106040521552 = 2419523863481787
BaseRepresentation
bin11110000011111100000110…
…00100000001001101010000
322200001200020121212200220121
433001332003010001031100
532131040132333142202
6352332410141520024
716632001211133253
oct1701760304011520
9280050217780817
1066106040521552
111a077461547929
1274b7963273014
132ab6a08003815
14124779990309a
15799883214537
hex3c1f83101350

66106040521552 has 80 divisors (see below), whose sum is σ = 135236118620160. Its totient is φ = 31217235221376.

The previous prime is 66106040521537. The next prime is 66106040521561. The reversal of 66106040521552 is 25512504060166.

It is a junction number, because it is equal to n+sod(n) for n = 66106040521499 and 66106040521508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136969203 + ... + 137450989.

It is an arithmetic number, because the mean of its divisors is an integer number (1690451482752).

Almost surely, 266106040521552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66106040521552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67618059310080).

66106040521552 is an abundant number, since it is smaller than the sum of its proper divisors (69130078098608).

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

66106040521552 is a wasteful number, since it uses less digits than its factorization.

66106040521552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483200 (or 483194 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 66106040521552 in words is "sixty-six trillion, one hundred six billion, forty million, five hundred twenty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 523 863 1046 1726 2092 3452 4184 6904 8368 9937 13808 16397 19874 32794 39748 65588 79496 131176 158992 262352 451349 481787 902698 963574 1805396 1927148 3610792 3854296 7221584 7708592 8575631 9153953 17151262 18307906 34302524 36615812 68605048 73231624 137210096 146463248 251974601 415782181 503949202 831564362 1007898404 1663128724 2015796808 3326257448 4031593616 4787517419 6652514896 7899861439 9575034838 15799722878 19150069676 31599445756 38300139352 63198891512 76600278704 126397783024 217454080663 434908161326 869816322652 1739632645304 3479265290608 4131627532597 8263255065194 16526510130388 33053020260776 66106040521552