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20413635066 = 2341117963997
BaseRepresentation
bin10011000000101111…
…110101100111111010
31221200122212002220000
4103000233311213322
5313301342310231
613213343013430
71321604015016
oct230057654772
957618762800
1020413635066
118725a68190
123b5859a276
131c042b1506
14db91d9546
157e72246e6
hex4c0bf59fa

20413635066 has 80 divisors (see below), whose sum is σ = 50179551840. Its totient is φ = 6151295520.

The previous prime is 20413635049. The next prime is 20413635127. The reversal of 20413635066 is 66053631402.

20413635066 is a `hidden beast` number, since 2 + 0 + 4 + 13 + 635 + 0 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20413635066.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 286980 + ... + 350976.

It is an arithmetic number, because the mean of its divisors is an integer number (627244398).

Almost surely, 220413635066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20413635066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25089775920).

20413635066 is an abundant number, since it is smaller than the sum of its proper divisors (29765916774).

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

20413635066 is a wasteful number, since it uses less digits than its factorization.

20413635066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64201 (or 64192 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 20413635066 in words is "twenty billion, four hundred thirteen million, six hundred thirty-five thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 179 198 297 358 537 594 891 1074 1611 1782 1969 3222 3938 4833 5907 9666 11814 14499 17721 28998 35442 53163 63997 106326 127994 159489 191991 318978 383982 575973 703967 1151946 1407934 1727919 2111901 3455838 4223802 5183757 6335703 10367514 11455463 12671406 19007109 22910926 34366389 38014218 57021327 68732778 103099167 114042654 126010093 206198334 252020186 309297501 378030279 618595002 756060558 927892503 1134090837 1855785006 2268181674 3402272511 6804545022 10206817533 20413635066