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25435150000 = 245513109359
BaseRepresentation
bin10111101100000011…
…011001011010110000
32102122121201111101121
4113230003121122300
5404042344300000
615403523312024
71560210131161
oct275403313260
972577644347
1025435150000
11a87252a727
124b1a21b614
132524733c20
14133409b768
159dcecab1a
hex5ec0d96b0

25435150000 has 240 divisors, whose sum is σ = 67130078400. Its totient is φ = 9279360000.

The previous prime is 25435149997. The next prime is 25435150003. The reversal of 25435150000 is 5153452.

It is an interprime number because it is at equal distance from previous prime (25435149997) and next prime (25435150003).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (25435150003) 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 47 ways as a sum of consecutive naturals, for example, 70849821 + ... + 70850179.

It is an arithmetic number, because the mean of its divisors is an integer number (279708660).

Almost surely, 225435150000 is an apocalyptic number.

25435150000 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 25435150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33565039200).

25435150000 is an abundant number, since it is smaller than the sum of its proper divisors (41694928400).

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

25435150000 is a wasteful number, since it uses less digits than its factorization.

25435150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 25435150000 in words is "twenty-five billion, four hundred thirty-five million, one hundred fifty thousand".