Search a number
-
+
3392224393392 = 2433171922355631
BaseRepresentation
bin110001010111010000010…
…101000111100010110000
3110000021220221122220102000
4301113100111013202300
5421034233421042032
611114211045254000
7500036324410062
oct61272025074260
913007827586360
103392224393392
1110986a826480a
12469529104300
131b7b68273493
14ba282523732
155d38d6b8e7c
hex315d05478b0

3392224393392 has 480 divisors, whose sum is σ = 11354161858560. Its totient is φ = 964362516480.

The previous prime is 3392224393381. The next prime is 3392224393427. The reversal of 3392224393392 is 2933934222933.

It is a happy number.

3392224393392 is a `hidden beast` number, since 3 + 3 + 9 + 2 + 2 + 243 + 9 + 3 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60949417 + ... + 61005047.

It is an arithmetic number, because the mean of its divisors is an integer number (23654503872).

Almost surely, 23392224393392 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 3392224393392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677080929280).

3392224393392 is an abundant number, since it is smaller than the sum of its proper divisors (7961937465168).

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

3392224393392 is a wasteful number, since it uses less digits than its factorization.

3392224393392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55726 (or 55695 counting only the distinct ones).

The product of its digits is 11337408, while the sum is 54.

The spelling of 3392224393392 in words is "three trillion, three hundred ninety-two billion, two hundred twenty-four million, three hundred ninety-three thousand, three hundred ninety-two".