Search a number
-
+
25076380960 = 2552834331279
BaseRepresentation
bin10111010110101010…
…110011010100100000
32101201121122010210101
4113112222303110200
5402324023142320
615304145512144
71545262502251
oct272652632440
971647563711
1025076380960
11a6a8a66194
124a3a042654
1324982ca557
1412dc58ab28
159bb75dc0a
hex5d6ab3520

25076380960 has 96 divisors (see below), whose sum is σ = 59636183040. Its totient is φ = 9964228608.

The previous prime is 25076380919. The next prime is 25076381039. The reversal of 25076380960 is 6908367052.

It is a self number, because there is not a number n which added to its sum of digits gives 25076380960.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19605601 + ... + 19606879.

It is an arithmetic number, because the mean of its divisors is an integer number (621210240).

Almost surely, 225076380960 is an apocalyptic number.

25076380960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25076380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29818091520).

25076380960 is an abundant number, since it is smaller than the sum of its proper divisors (34559802080).

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

25076380960 is a wasteful number, since it uses less digits than its factorization.

25076380960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 25076380960 in words is "twenty-five billion, seventy-six million, three hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 283 433 566 866 1132 1279 1415 1732 2165 2264 2558 2830 3464 4330 4528 5116 5660 6395 6928 8660 9056 10232 11320 12790 13856 17320 20464 22640 25580 34640 40928 45280 51160 69280 102320 122539 204640 245078 361957 490156 553807 612695 723914 980312 1107614 1225390 1447828 1809785 1960624 2215228 2450780 2769035 2895656 3619570 3921248 4430456 4901560 5538070 5791312 7239140 8860912 9803120 11076140 11582624 14478280 17721824 19606240 22152280 28956560 44304560 57913120 88609120 156727381 313454762 626909524 783636905 1253819048 1567273810 2507638096 3134547620 5015276192 6269095240 12538190480 25076380960