Search a number
-
+
13827892833216 = 2634711311117477
BaseRepresentation
bin1100100100111000111010…
…1000111110101111000000
31210221221012121221000020000
43021032032220332233000
53303024011031130331
645224240221120000
72625014034516030
oct311161650765700
953857177830200
1013827892833216
114451416014970
121673b313b9000
13793c7059cc17
1435b3b8a018c0
1518ea665c20e6
hexc938ea3ebc0

13827892833216 has 560 divisors, whose sum is σ = 52753257756672. Its totient is φ = 3475797350400.

The previous prime is 13827892833191. The next prime is 13827892833241. The reversal of 13827892833216 is 61233829872831.

13827892833216 is a `hidden beast` number, since 1 + 3 + 8 + 27 + 8 + 9 + 283 + 321 + 6 = 666.

13827892833216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13827892833191) and next prime (13827892833241).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11815470 + ... + 12932946.

Almost surely, 213827892833216 is an apocalyptic number.

13827892833216 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 13827892833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26376628878336).

13827892833216 is an abundant number, since it is smaller than the sum of its proper divisors (38925364923456).

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

13827892833216 is a wasteful number, since it uses less digits than its factorization.

13827892833216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117550 (or 1117531 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 13827892833216 in words is "thirteen trillion, eight hundred twenty-seven billion, eight hundred ninety-two million, eight hundred thirty-three thousand, two hundred sixteen".