Search a number
-
+
25854115840 = 2155722543
BaseRepresentation
bin11000000101000001…
…101000000000000000
32110201211002011110221
4120011001220000000
5410422123201330
615513251232424
71603455234010
oct300501500000
973654064427
1025854115840
11aa67a79993
1250165a8714
132590485cc7
14137399bc40
15a14b88b7a
hex605068000

25854115840 has 128 divisors (see below), whose sum is σ = 70916209920. Its totient is φ = 8863875072.

The previous prime is 25854115823. The next prime is 25854115843. The reversal of 25854115840 is 4851145852.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (25854115843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1135609 + ... + 1158151.

It is an arithmetic number, because the mean of its divisors is an integer number (554032890).

Almost surely, 225854115840 is an apocalyptic number.

25854115840 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 25854115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35458104960).

25854115840 is an abundant number, since it is smaller than the sum of its proper divisors (45062094080).

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

25854115840 is an frugal number, since it uses more digits than its factorization.

25854115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22585 (or 22557 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 43.

The spelling of 25854115840 in words is "twenty-five billion, eight hundred fifty-four million, one hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8192 8960 10240 14336 16384 17920 20480 22543 28672 32768 35840 40960 45086 57344 71680 81920 90172 112715 114688 143360 157801 163840 180344 225430 229376 286720 315602 360688 450860 573440 631204 721376 789005 901720 1146880 1262408 1442752 1578010 1803440 2524816 2885504 3156020 3606880 5049632 5771008 6312040 7213760 10099264 11542016 12624080 14427520 20198528 23084032 25248160 28855040 40397056 46168064 50496320 57710080 80794112 92336128 100992640 115420160 161588224 184672256 201985280 230840320 323176448 369344512 403970560 461680640 646352896 738689024 807941120 923361280 1292705792 1615882240 1846722560 2585411584 3231764480 3693445120 5170823168 6463528960 12927057920 25854115840