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10308067965 = 335132479613
BaseRepresentation
bin10011001100110100…
…01010001001111101
3222121101110002221000
421212122022021331
5132102331133330
64422505400513
7513305063166
oct114632121175
928541402830
1010308067965
11440a6aa038
121bb8199139
13c83781600
146db03676d
15404e62560
hex26668a27d

10308067965 has 96 divisors (see below), whose sum is σ = 20267850240. Its totient is φ = 4966251264.

The previous prime is 10308067949. The next prime is 10308067969. The reversal of 10308067965 is 56976080301.

It is a happy number.

10308067965 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10308067965 - 24 = 10308067949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10308067965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10308067969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1067499 + ... + 1077111.

It is an arithmetic number, because the mean of its divisors is an integer number (211123440).

Almost surely, 210308067965 is an apocalyptic number.

10308067965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10308067965 is a deficient number, since it is larger than the sum of its proper divisors (9959782275).

10308067965 is a wasteful number, since it uses less digits than its factorization.

10308067965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9700 (or 9681 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10308067965 in words is "ten billion, three hundred eight million, sixty-seven thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 47 65 117 135 141 169 195 235 351 423 507 585 611 705 845 1269 1521 1755 1833 2115 2535 3055 4563 5499 6345 7605 7943 9165 9613 16497 22815 23829 27495 28839 39715 48065 71487 82485 86517 119145 124969 144195 214461 259551 357435 374907 432585 451811 624845 1072305 1124721 1297755 1355433 1624597 1874535 2259055 3374163 4066299 4873791 5623605 5873543 6777165 8122985 12198897 14621373 16870815 17620629 20331495 24368955 29367715 43864119 52861887 60994485 73106865 76356059 88103145 158585661 219320595 229068177 264309435 381780295 687204531 792928305 1145340885 2061613593 3436022655 10308067965