Search a number
-
+
25135096986 = 2334134732717
BaseRepresentation
bin10111011010001010…
…110010010010011010
32101212201010020001000
4113122022302102122
5402434041100421
615314044205430
71546604541066
oct273212622232
971781106030
1025135096986
11a72911a42a
124a55839876
1324a7517c6c
1413062b2aa6
159c19ab226
hex5da2b249a

25135096986 has 64 divisors (see below), whose sum is σ = 57384754560. Its totient is φ = 8150209920.

The previous prime is 25135096937. The next prime is 25135096991. The reversal of 25135096986 is 68969053152.

It is a happy number.

25135096986 is a `hidden beast` number, since 2 + 51 + 3 + 509 + 6 + 9 + 86 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 751900 + ... + 784616.

It is an arithmetic number, because the mean of its divisors is an integer number (896636790).

Almost surely, 225135096986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25135096986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28692377280).

25135096986 is an abundant number, since it is smaller than the sum of its proper divisors (32249657574).

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

25135096986 is a wasteful number, since it uses less digits than its factorization.

25135096986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33116 (or 33110 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 25135096986 in words is "twenty-five billion, one hundred thirty-five million, ninety-six thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 347 369 694 738 1041 1107 2082 2214 3123 6246 9369 14227 18738 28454 32717 42681 65434 85362 98151 128043 196302 256086 294453 384129 588906 768258 883359 1341397 1766718 2682794 4024191 8048382 11352799 12072573 22705598 24145146 34058397 36217719 68116794 72435438 102175191 204350382 306525573 465464759 613051146 930929518 1396394277 2792788554 4189182831 8378365662 12567548493 25135096986