Search a number
-
+
9872525463372 = 22351121319493313
BaseRepresentation
bin1000111110101010000001…
…0111111000111101001100
31021221210201021101211200000
42033222200113320331030
52243222413004311442
632555213043204300
72036160245561025
oct217524027707514
937853637354600
109872525463372
113166a0727aa00
121135440976690
13567c8a55a220
14261b93221c4c
15121c18b89d4c
hex8faa05f8f4c

9872525463372 has 432 divisors, whose sum is σ = 30659581024800. Its totient is φ = 2759295559680.

The previous prime is 9872525463319. The next prime is 9872525463379. The reversal of 9872525463372 is 2733645252789.

9872525463372 is a `hidden beast` number, since 9 + 8 + 7 + 2 + 5 + 254 + 6 + 3 + 372 = 666.

It is a super-2 number, since 2×98725254633722 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9872525463379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2979933588 + ... + 2979936900.

Almost surely, 29872525463372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9872525463372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15329790512400).

9872525463372 is an abundant number, since it is smaller than the sum of its proper divisors (20787055561428).

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

9872525463372 is a wasteful number, since it uses less digits than its factorization.

9872525463372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316 (or 5291 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 9872525463372 in words is "nine trillion, eight hundred seventy-two billion, five hundred twenty-five million, four hundred sixty-three thousand, three hundred seventy-two".