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25131051040 = 2551789103813
BaseRepresentation
bin10111011001111011…
…010110100000100000
32101212102111200001011
4113121323112200200
5402432022113130
615313421350304
71546525260244
oct273173264040
971772450034
1025131051040
11a726906677
124a54408394
1324a672c504
14130593c424
159c145c52a
hex5d9ed6820

25131051040 has 96 divisors (see below), whose sum is σ = 63571541040. Its totient is φ = 9354706944.

The previous prime is 25131051037. The next prime is 25131051041. The reversal of 25131051040 is 4015013152.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4690058256 + 20440992784 = 68484^2 + 142972^2 .

It is not an unprimeable number, because it can be changed into a prime (25131051041) by changing a digit.

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, 190174 + ... + 293986.

Almost surely, 225131051040 is an apocalyptic number.

25131051040 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 25131051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31785770520).

25131051040 is an abundant number, since it is smaller than the sum of its proper divisors (38440490000).

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

25131051040 is a wasteful number, since it uses less digits than its factorization.

25131051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103934 (or 103926 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 25131051040 its reverse (4015013152), we get a palindrome (29146064192).

The spelling of 25131051040 in words is "twenty-five billion, one hundred thirty-one million, fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 89 136 160 170 178 272 340 356 445 544 680 712 890 1360 1424 1513 1780 2720 2848 3026 3560 6052 7120 7565 12104 14240 15130 24208 30260 48416 60520 103813 121040 207626 242080 415252 519065 830504 1038130 1661008 1764821 2076260 3322016 3529642 4152520 7059284 8305040 8824105 9239357 14118568 16610080 17648210 18478714 28237136 35296420 36957428 46196785 56474272 70592840 73914856 92393570 141185680 147829712 157069069 184787140 282371360 295659424 314138138 369574280 628276276 739148560 785345345 1256552552 1478297120 1570690690 2513105104 3141381380 5026210208 6282762760 12565525520 25131051040