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25142445100 = 225210113917909
BaseRepresentation
bin10111011010100110…
…110100010000101100
32101220012221112202101
4113122212310100230
5402442431220400
615314505504444
71550024154133
oct273246642054
971805845671
1025142445100
11a732289153
124a581a2124
1324a8bbb766
14130726691a
159c245d56a
hex5da9b442c

25142445100 has 72 divisors (see below), whose sum is σ = 55498791600. Its totient is φ = 9885216000.

The previous prime is 25142445079. The next prime is 25142445157. The reversal of 25142445100 is 154424152.

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 23 ways as a sum of consecutive naturals, for example, 1394946 + ... + 1412854.

It is an arithmetic number, because the mean of its divisors is an integer number (770816550).

Almost surely, 225142445100 is an apocalyptic number.

25142445100 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 25142445100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27749395800).

25142445100 is an abundant number, since it is smaller than the sum of its proper divisors (30356346500).

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

25142445100 is a wasteful number, since it uses less digits than its factorization.

25142445100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18163 (or 18156 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 25142445100 its reverse (154424152), we get a palindrome (25296869252).

The spelling of 25142445100 in words is "twenty-five billion, one hundred forty-two million, four hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 139 202 278 404 505 556 695 1010 1390 2020 2525 2780 3475 5050 6950 10100 13900 14039 17909 28078 35818 56156 70195 71636 89545 140390 179090 280780 350975 358180 447725 701950 895450 1403900 1790900 1808809 2489351 3617618 4978702 7235236 9044045 9957404 12446755 18088090 24893510 36176180 45220225 49787020 62233775 90440450 124467550 180880900 248935100 251424451 502848902 1005697804 1257122255 2514244510 5028489020 6285611275 12571222550 25142445100