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25963740000 = 253454113147
BaseRepresentation
bin11000001011100011…
…110011101101100000
32111000110100122120000
4120023203303231200
5411133204140000
615532205020000
71606256101662
oct301343635540
974013318500
1025963740000
1110013944170
125047254600
1325aa0b9283
141384376532
15a1e5e0000
hex60b8f3b60

25963740000 has 1200 divisors, whose sum is σ = 109736073216. Its totient is φ = 5961600000.

The previous prime is 25963739993. The next prime is 25963740013. The reversal of 25963740000 is 4736952.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

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 199 ways as a sum of consecutive naturals, for example, 552419977 + ... + 552420023.

Almost surely, 225963740000 is an apocalyptic number.

25963740000 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 25963740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54868036608).

25963740000 is an abundant number, since it is smaller than the sum of its proper divisors (83772333216).

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

25963740000 is a wasteful number, since it uses less digits than its factorization.

25963740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 25963740000 in words is "twenty-five billion, nine hundred sixty-three million, seven hundred forty thousand".