Search a number
-
+
13828571136 = 21432191491
BaseRepresentation
bin11001110000011111…
…10100000000000000
31022200201220012101100
430320033310000000
5211310103234021
610204110134400
7666453625632
oct147017640000
938621805340
1013828571136
115956960196
12281b1b1400
1313c4c49393
14952810a52
1555e06e626
hex3383f4000

13828571136 has 180 divisors, whose sum is σ = 40238924544. Its totient is φ = 4576051200.

The previous prime is 13828571131. The next prime is 13828571189. The reversal of 13828571136 is 63117582831.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13828571091 and 13828571100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828571131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28163851 + ... + 28164341.

Almost surely, 213828571136 is an apocalyptic number.

13828571136 is a gapful number since it is divisible by the number (16) 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 13828571136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20119462272).

13828571136 is an abundant number, since it is smaller than the sum of its proper divisors (26410353408).

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

13828571136 is an equidigital number, since it uses as much as digits as its factorization.

13828571136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 687 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 13828571136 in words is "thirteen billion, eight hundred twenty-eight million, five hundred seventy-one thousand, one hundred thirty-six".