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25160142551040 = 2113557341719
BaseRepresentation
bin1011011100010000011010…
…10110111111100000000000
310022002021201121001010100000
411232020031112333200000
511244210432443113130
6125302224313200000
75204521534014000
oct556101526774000
9108067647033300
1025160142551040
1180203a1601432
1229a4254a00000
13110678c006133
1462da86424000
152d9716802260
hex16e20d5bf800

25160142551040 has 2304 divisors, whose sum is σ = 108180334080000. Its totient is φ = 5602820751360.

The previous prime is 25160142551017. The next prime is 25160142551099. The reversal of 25160142551040 is 4015524106152.

25160142551040 is a `hidden beast` number, since 2 + 5 + 1 + 60 + 1 + 4 + 2 + 551 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25160142550986 and 25160142551004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34993243801 + ... + 34993244519.

It is an arithmetic number, because the mean of its divisors is an integer number (46953270000).

Almost surely, 225160142551040 is an apocalyptic number.

25160142551040 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 25160142551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54090167040000).

25160142551040 is an abundant number, since it is smaller than the sum of its proper divisors (83020191528960).

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

25160142551040 is an frugal number, since it uses more digits than its factorization.

25160142551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 25160142551040 its reverse (4015524106152), we get a palindrome (29175666657192).

The spelling of 25160142551040 in words is "twenty-five trillion, one hundred sixty billion, one hundred forty-two million, five hundred fifty-one thousand, forty".