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10079308091889 = 35415973923203
BaseRepresentation
bin1001001010101100010110…
…0101000001000111110001
31022200120110022101202100000
42102223011211001013301
52310114410332420024
633234211544420213
72060130436116141
oct222530545010761
938616408352300
1010079308091889
113236679718313
12116952ba77669
13581622b2514a
1426bbac038921
151272bc7dbcc9
hex92ac59411f1

10079308091889 has 96 divisors (see below), whose sum is σ = 15750578188800. Its totient is φ = 6435536883840.

The previous prime is 10079308091821. The next prime is 10079308091891. The reversal of 10079308091889 is 98819080397001.

It is not a de Polignac number, because 10079308091889 - 220 = 10079307043313 is a prime.

It is a super-2 number, since 2×100793080918892 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10079308091389) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 434385162 + ... + 434408364.

It is an arithmetic number, because the mean of its divisors is an integer number (164068522800).

Almost surely, 210079308091889 is an apocalyptic number.

It is an amenable number.

10079308091889 is a deficient number, since it is larger than the sum of its proper divisors (5671270096911).

10079308091889 is an equidigital number, since it uses as much as digits as its factorization.

10079308091889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24057 (or 24045 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 63.

The spelling of 10079308091889 in words is "ten trillion, seventy-nine billion, three hundred eight million, ninety-one thousand, eight hundred eighty-nine".

Divisors: 1 3 9 27 41 59 81 123 177 243 369 531 739 1107 1593 2217 2419 3321 4779 6651 7257 9963 14337 19953 21771 23203 30299 43601 59859 65313 69609 90897 130803 179577 195939 208827 272691 392409 587817 626481 818073 951323 1177227 1368977 1787641 1879443 2454219 2853969 3531681 4106931 5362923 5638329 7362657 8561907 10595043 12320793 16088769 17147017 25685721 36962379 48266307 51441051 56128057 77057163 110887137 144798921 154323153 168384171 231171489 332661411 434396763 462969459 505152513 703027697 1011674003 1388908377 1515457539 2109083091 3035022009 4166725131 4546372617 6327249273 9105066027 13639117851 18981747819 27315198081 41478634123 56945243457 81945594243 124435902369 170835730371 245836782729 373307707107 1119923121321 3359769363963 10079308091889