Search a number
-
+
11251924992 = 21432711991
BaseRepresentation
bin10100111101010101…
…01100000000000000
31002001011111000100200
422132222230000000
5141020443044432
65100303445200
7545555533020
oct123652540000
932034430320
1011251924992
114854466870
1222202b6800
1310a41922a9
1478a52ba80
1545cc53a7c
hex29eaac000

11251924992 has 360 divisors, whose sum is σ = 40566070272. Its totient is φ = 2919628800.

The previous prime is 11251924991. The next prime is 11251925029. The reversal of 11251924992 is 29942915211.

11251924992 is a `hidden beast` number, since 1 + 1 + 2 + 519 + 2 + 49 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (11251924991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11353617 + ... + 11354607.

Almost surely, 211251924992 is an apocalyptic number.

11251924992 is a gapful number since it is divisible by the number (12) 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 11251924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20283035136).

11251924992 is an abundant number, since it is smaller than the sum of its proper divisors (29314145280).

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

11251924992 is an equidigital number, since it uses as much as digits as its factorization.

11251924992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1014 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The spelling of 11251924992 in words is "eleven billion, two hundred fifty-one million, nine hundred twenty-four thousand, nine hundred ninety-two".