Search a number
-
+
54223363772928 = 2932721489161281
BaseRepresentation
bin11000101010000110111000…
…10101100001001000000000
321002222200222110012021210200
430111003130111201020000
524101343422111213203
6311153511444125200
714264336334240300
oct1425033425411000
9232880873167720
1054223363772928
1116305aaa2822a9
1260b8a26996800
13243431a095b8c
14d565d396b600
1564071a2a89a3
hex3150dc561200

54223363772928 has 360 divisors, whose sum is σ = 182165449777740. Its totient is φ = 15481889095680.

The previous prime is 54223363772909. The next prime is 54223363772983. The reversal of 54223363772928 is 82927736332245.

54223363772928 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 336 + 3 + 7 + 7 + 292 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51542520793344 + 2680842979584 = 7179312^2 + 1637328^2 .

It is a super-2 number, since 2×542233637729282 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 336123648 + ... + 336284928.

Almost surely, 254223363772928 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 54223363772928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91082724888870).

54223363772928 is an abundant number, since it is smaller than the sum of its proper divisors (127942086004812).

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

54223363772928 is a wasteful number, since it uses less digits than its factorization.

54223363772928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162808 (or 162782 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 63.

The spelling of 54223363772928 in words is "fifty-four trillion, two hundred twenty-three billion, three hundred sixty-three million, seven hundred seventy-two thousand, nine hundred twenty-eight".