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206640246426016 = 25132773475167879
BaseRepresentation
bin101110111111000000101110…
…011111000000100110100000
31000002122121121001202221101211
4232333000232133000212200
5204041043211041113031
62011253115123235504
761345156640543014
oct5677005637004640
91002577531687354
10206640246426016
115a9297000098a7
121b214320518b94
138b3c1263bc430
143905626c90544
1518d52c1306bb1
hexbbf02e7c09a0

206640246426016 has 96 divisors (see below), whose sum is σ = 440965939559040. Its totient is φ = 94754242077696.

The previous prime is 206640246425993. The next prime is 206640246426059. The reversal of 206640246426016 is 610624642046602.

It is a super-2 number, since 2×2066402464260162 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37401565 + ... + 42569443.

It is an arithmetic number, because the mean of its divisors is an integer number (4593395203740).

Almost surely, 2206640246426016 is an apocalyptic number.

206640246426016 is a gapful number since it is divisible by the number (26) 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 206640246426016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220482969779520).

206640246426016 is an abundant number, since it is smaller than the sum of its proper divisors (234325693133024).

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

206640246426016 is a wasteful number, since it uses less digits than its factorization.

206640246426016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168526 (or 5168518 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 49.

The spelling of 206640246426016 in words is "two hundred six trillion, six hundred forty billion, two hundred forty-six million, four hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 277 347 416 554 694 1108 1388 2216 2776 3601 4432 4511 5552 7202 8864 9022 11104 14404 18044 28808 36088 57616 72176 96119 115232 144352 192238 384476 768952 1249547 1537904 2499094 3075808 4998188 5167879 9996376 10335758 19992752 20671516 39985504 41343032 67182427 82686064 134364854 165372128 268729708 537459416 1074918832 1431502483 1793254013 2149837664 2863004966 3586508026 5726009932 7173016052 11452019864 14346032104 18609532279 22904039728 23312302169 28692064208 37219064558 45808079456 46624604338 57384128416 74438129116 93249208676 148876258232 186498417352 297752516464 372996834704 496731361601 595505032928 745993669408 993462723202 1986925446404 3973850892808 6457507700813 7947701785616 12915015401626 15895403571232 25830030803252 51660061606504 103320123213008 206640246426016