Search a number
-
+
2263732271892 = 22337131718174857
BaseRepresentation
bin100000111100010000111…
…101010011101100010100
322000102002101122101202000
4200330100331103230110
5244042110430200032
64451535542515300
7322356252553650
oct40742075235424
98012071571660
102263732271892
117a3052941173
12306887435b30
13135613623420
147b7cada5a60
153dd41692e7c
hex20f10f53b14

2263732271892 has 384 divisors, whose sum is σ = 7690563578880. Its totient is φ = 558797045760.

The previous prime is 2263732271873. The next prime is 2263732271897. The reversal of 2263732271892 is 2981722373622.

2263732271892 is a `hidden beast` number, since 2 + 263 + 7 + 32 + 271 + 89 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263732271897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30203328 + ... + 30278184.

It is an arithmetic number, because the mean of its divisors is an integer number (20027509320).

Almost surely, 22263732271892 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 2263732271892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845281789440).

2263732271892 is an abundant number, since it is smaller than the sum of its proper divisors (5426831306988).

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

2263732271892 is a wasteful number, since it uses less digits than its factorization.

2263732271892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75088 (or 75080 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 2263732271892 in words is "two trillion, two hundred sixty-three billion, seven hundred thirty-two million, two hundred seventy-one thousand, eight hundred ninety-two".