Search a number
-
+
15135929055 = 33513191992281
BaseRepresentation
bin11100001100010101…
…11111001011011111
31110001211220212022000
432012022333023133
5221444244212210
610541531253343
71044040163022
oct160612771337
943054825260
1015135929055
116467923585
122b24baa253
131572a5c450
14a382c91b9
155d8c14ac0
hex3862bf2df

15135929055 has 128 divisors (see below), whose sum is σ = 30670080000. Its totient is φ = 7020794880.

The previous prime is 15135929047. The next prime is 15135929099. The reversal of 15135929055 is 55092953151.

15135929055 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 592 + 9 + 0 + 55 = 666.

It is not a de Polignac number, because 15135929055 - 23 = 15135929047 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 15135929055.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6634515 + ... + 6636795.

It is an arithmetic number, because the mean of its divisors is an integer number (239610000).

Almost surely, 215135929055 is an apocalyptic number.

15135929055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15135929055 is an abundant number, since it is smaller than the sum of its proper divisors (15534150945).

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

15135929055 is a wasteful number, since it uses less digits than its factorization.

15135929055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 303750, while the sum is 45.

The spelling of 15135929055 in words is "fifteen billion, one hundred thirty-five million, nine hundred twenty-nine thousand, fifty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 195 199 247 285 351 513 585 597 741 855 995 1235 1755 1791 2223 2281 2565 2587 2985 3705 3781 5373 6669 6843 7761 8955 11115 11343 11405 12935 18905 20529 23283 26865 29653 33345 34029 34215 38805 43339 49153 56715 61587 69849 88959 102087 102645 116415 130017 147459 148265 170145 216695 245765 266877 307935 349245 390051 442377 444795 453919 510435 563407 650085 737295 800631 1170153 1327131 1334385 1361757 1690221 1950255 2211885 2269595 2817035 4003155 4085271 5070663 5850765 5900947 6635655 6808785 8451105 8624461 12255813 15211989 17702841 20426355 25353315 25873383 29504735 43122305 53108523 61279065 76059945 77620149 88514205 112117993 129366915 159325569 232860447 265542615 336353979 388100745 560589965 796627845 1009061937 1164302235 1681769895 3027185811 5045309685 15135929055