Search a number
-
+
28145724165 = 32513471139059
BaseRepresentation
bin11010001101100111…
…011010101100000101
32200122112010221010100
4122031213122230011
5430120301133130
620532512314313
72014322464566
oct321547325405
980575127110
1028145724165
1110a33589169
125555b42999
132867180670
14151008416d
15aeae4dc60
hex68d9dab05

28145724165 has 96 divisors (see below), whose sum is σ = 54137341440. Its totient is φ = 13440043008.

The previous prime is 28145724133. The next prime is 28145724179. The reversal of 28145724165 is 56142754182.

28145724165 is a `hidden beast` number, since 2 + 8 + 14 + 572 + 4 + 1 + 65 = 666.

It is not a de Polignac number, because 28145724165 - 25 = 28145724133 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 28145724165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3102406 + ... + 3111464.

It is an arithmetic number, because the mean of its divisors is an integer number (563930640).

Almost surely, 228145724165 is an apocalyptic number.

It is an amenable number.

28145724165 is a deficient number, since it is larger than the sum of its proper divisors (25991617275).

28145724165 is a wasteful number, since it uses less digits than its factorization.

28145724165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9243 (or 9240 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 28145724165 in words is "twenty-eight billion, one hundred forty-five million, seven hundred twenty-four thousand, one hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 47 65 113 117 141 195 235 339 423 565 585 611 705 1017 1469 1695 1833 2115 3055 4407 5085 5311 5499 7345 9059 9165 13221 15933 22035 26555 27177 27495 45295 47799 66105 69043 79665 81531 117767 135885 207129 238995 345215 353301 407655 425773 588835 621387 1023667 1035645 1059903 1277319 1766505 2128865 3071001 3106935 3831957 5118335 5299515 5535049 6386595 9213003 13307671 15355005 16605147 19159785 27675245 39923013 46065015 48112349 49815441 66538355 83025735 119769039 144337047 199615065 240561745 249077205 433011141 598845195 625460537 721685235 1876381611 2165055705 3127302685 5629144833 9381908055 28145724165