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190082668815 = 3551314398363
BaseRepresentation
bin1011000100000111001…
…1110101100100001111
3200011122012002001200000
42301001303311210033
511103242130400230
6223153415135343
716506266012004
oct2610163654417
9604565061600
10190082668815
1173682790526
1230a0a374553
1314c037b7a80
1492b2d1b8ab
154e27995b60
hex2c41cf590f

190082668815 has 96 divisors (see below), whose sum is σ = 368262236160. Its totient is φ = 93502947456.

The previous prime is 190082668801. The next prime is 190082668859. The reversal of 190082668815 is 518866280091.

It is a happy number.

190082668815 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 190082668815 - 27 = 190082668687 is a prime.

It is a super-2 number, since 2×1900826688152 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 22724824 + ... + 22733186.

It is an arithmetic number, because the mean of its divisors is an integer number (3836064960).

Almost surely, 2190082668815 is an apocalyptic number.

190082668815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

190082668815 is a deficient number, since it is larger than the sum of its proper divisors (178179567345).

190082668815 is a wasteful number, since it uses less digits than its factorization.

190082668815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9835 (or 9823 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 190082668815 in words is "one hundred ninety billion, eighty-two million, six hundred sixty-eight thousand, eight hundred fifteen".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 243 351 405 585 1053 1215 1439 1755 3159 4317 5265 7195 8363 12951 15795 18707 21585 25089 38853 41815 56121 64755 75267 93535 108719 116559 125445 168363 194265 225801 280605 326157 349677 376335 505089 543595 582795 677403 841815 978471 1129005 1515267 1630785 1748385 2032209 2525445 2935413 3387015 4545801 4892355 7576335 8806239 10161045 12034357 14677065 22729005 26418717 36103071 44031195 60171785 108309213 132093585 156446641 180515355 324927639 469339923 541546065 782233205 974782917 1408019769 1624638195 2346699615 2924348751 4224059307 4873914585 7040098845 12672177921 14621743755 21120296535 38016533763 63360889605 190082668815