Search a number
-
+
13525900992 = 26362391213
BaseRepresentation
bin11001001100011010…
…01101111011000000
31021220122100222000000
430212031031323000
5210200112312432
610114055000000
7656120155452
oct144615157300
937818328000
1013525900992
11581102267a
122755969000
131377325116
149245442d2
155426d457c
hex32634dec0

13525900992 has 196 divisors, whose sum is σ = 40443972960. Its totient is φ = 4486067712.

The previous prime is 13525900963. The next prime is 13525901003. The reversal of 13525900992 is 29900952531.

13525900992 is a `hidden beast` number, since 1 + 3 + 52 + 590 + 0 + 9 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11150178 + ... + 11151390.

Almost surely, 213525900992 is an apocalyptic number.

13525900992 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 13525900992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20221986480).

13525900992 is an abundant number, since it is smaller than the sum of its proper divisors (26918071968).

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

13525900992 is an equidigital number, since it uses as much as digits as its factorization.

13525900992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 13525900992 in words is "thirteen billion, five hundred twenty-five million, nine hundred thousand, nine hundred ninety-two".