Search a number
-
+
25384485816 = 23321770929251
BaseRepresentation
bin10111101001000010…
…001000001110111000
32102112002101111012100
4113221002020032320
5403441412021231
615354513343400
71556023366164
oct275102101670
972462344170
1025384485816
11a8469759a8
124b05267b60
1325170a5411
14132b46dca4
159d881e1e6
hex5e90883b8

25384485816 has 96 divisors (see below), whose sum is σ = 72898909200. Its totient is φ = 7952256000.

The previous prime is 25384485761. The next prime is 25384485817. The reversal of 25384485816 is 61858448352.

25384485816 is a `hidden beast` number, since 2 + 5 + 3 + 84 + 485 + 81 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25384485817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853191 + ... + 882441.

Almost surely, 225384485816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25384485816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36449454600).

25384485816 is an abundant number, since it is smaller than the sum of its proper divisors (47514423384).

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

25384485816 is a wasteful number, since it uses less digits than its factorization.

25384485816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29989 (or 29982 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 25384485816 in words is "twenty-five billion, three hundred eighty-four million, four hundred eighty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 709 1224 1418 2127 2836 4254 5672 6381 8508 12053 12762 17016 24106 25524 29251 36159 48212 51048 58502 72318 87753 96424 108477 117004 144636 175506 216954 234008 263259 289272 351012 433908 497267 526518 702024 867816 994534 1053036 1491801 1989068 2106072 2983602 3978136 4475403 5967204 8950806 11934408 17901612 20738959 35803224 41477918 62216877 82955836 124433754 165911672 186650631 248867508 352562303 373301262 497735016 705124606 746602524 1057686909 1410249212 1493205048 2115373818 2820498424 3173060727 4230747636 6346121454 8461495272 12692242908 25384485816