Search a number
-
+
2352354748920 = 233351117192292677
BaseRepresentation
bin100010001110110011010…
…001001110100111111000
322022212211122110200121000
4202032303101032213320
5302020110303431140
65000353514045000
7331644354311361
oct42166321164770
98285748420530
102352354748920
1182769aa25920
1231ba9aa19760
13140a97c36947
1481bd6d62b68
15412cbb19a30
hex223b344e9f8

2352354748920 has 1024 divisors, whose sum is σ = 9579098880000. Its totient is φ = 506064568320.

The previous prime is 2352354748883. The next prime is 2352354748973. The reversal of 2352354748920 is 298474532532.

2352354748920 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 3 + 547 + 4 + 8 + 92 + 0 = 666.

2352354748920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 878726622 + ... + 878729298.

It is an arithmetic number, because the mean of its divisors is an integer number (9354588750).

Almost surely, 22352354748920 is an apocalyptic number.

2352354748920 is a gapful number since it is divisible by the number (20) 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 2352354748920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789549440000).

2352354748920 is an abundant number, since it is smaller than the sum of its proper divisors (7226744131080).

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

2352354748920 is a wasteful number, since it uses less digits than its factorization.

2352354748920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 2352354748920 in words is "two trillion, three hundred fifty-two billion, three hundred fifty-four million, seven hundred forty-eight thousand, nine hundred twenty".