Search a number
-
+
25445532000000 = 28356717103173
BaseRepresentation
bin1011100100100011111111…
…11001010101111100000000
310100002120100212122020221010
411302101333321111330000
511313344422143000000
6130041303243400520
75234244001215540
oct562217771257400
9110076325566833
1025445532000000
1181204314a5462
122a2b621223140
131127670ba4968
1463d7dad5b320
152e1d6b478d50
hex17247fe55f00

25445532000000 has 2016 divisors, whose sum is σ = 104028048423936. Its totient is φ = 5389516800000.

The previous prime is 25445531999969. The next prime is 25445532000019. The reversal of 25445532000000 is 23554452.

It is a super-3 number, since 3×254455320000003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 147083999914 + ... + 147084000086.

It is an arithmetic number, because the mean of its divisors is an integer number (51601214496).

Almost surely, 225445532000000 is an apocalyptic number.

25445532000000 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 25445532000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52014024211968).

25445532000000 is an abundant number, since it is smaller than the sum of its proper divisors (78582516423936).

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

25445532000000 is an equidigital number, since it uses as much as digits as its factorization.

25445532000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 25445532000000 its reverse (23554452), we get a palindrome (25445555554452).

The spelling of 25445532000000 in words is "twenty-five trillion, four hundred forty-five billion, five hundred thirty-two million", and thus it is an aban number.