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7068668607 = 3372111337363
BaseRepresentation
bin1101001010101001…
…10101001010111111
3200020121221120102000
412211110311022333
5103434034343412
63125230033343
7340111456200
oct64524651277
920217846360
107068668607
112aa8096390
121453348853
138885c9760
144b0b135a7
152b58804dc
hex1a55352bf

7068668607 has 96 divisors (see below), whose sum is σ = 14311906560. Its totient is φ = 3389480640.

The previous prime is 7068668603. The next prime is 7068668617.

7068668607 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7068668607 - 22 = 7068668603 is a prime.

It is a super-3 number, since 3×70686686073 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7068668603) 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, 170508 + ... + 207870.

It is an arithmetic number, because the mean of its divisors is an integer number (149082360).

Almost surely, 27068668607 is an apocalyptic number.

7068668607 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

7068668607 is an abundant number, since it is smaller than the sum of its proper divisors (7243237953).

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

7068668607 is a wasteful number, since it uses less digits than its factorization.

7068668607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37410 (or 37397 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7068668607 is about 84075.3745575956. The cubic root of 7068668607 is about 1919.1659976449.

The spelling of 7068668607 in words is "seven billion, sixty-eight million, six hundred sixty-eight thousand, six hundred seven".

Divisors: 1 3 7 9 11 13 21 27 33 39 49 63 77 91 99 117 143 147 189 231 273 297 351 429 441 539 637 693 819 1001 1287 1323 1617 1911 2079 2457 3003 3861 4851 5733 7007 9009 14553 17199 21021 27027 37363 63063 112089 189189 261541 336267 410993 485719 784623 1008801 1232979 1457157 1830787 2353869 2876951 3400033 3698937 4371471 5342909 5492361 7061607 8630853 10200099 11096811 13114413 16028727 16477083 20138657 23800231 25892559 30600297 37400363 48086181 49431249 60415971 71400693 77677677 91800891 112201089 144258543 181247913 214202079 261802541 336603267 543743739 642606237 785407623 1009809801 2356222869 7068668607