Search a number
-
+
54492874128 = 243272111741299
BaseRepresentation
bin110010110000000001…
…110100010110010000
312012122200221211021100
4302300001310112100
51343100133433003
641011135224400
73636245534100
oct626001642620
9165580854240
1054492874128
1121123896970
12a689678100
1351a581cc24
1428cd303200
15163e026ba3
hexcb0074590

54492874128 has 360 divisors, whose sum is σ = 204919696800. Its totient is φ = 13321082880.

The previous prime is 54492874061. The next prime is 54492874141. The reversal of 54492874128 is 82147829445.

54492874128 is a `hidden beast` number, since 5 + 449 + 2 + 8 + 74 + 128 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1298823 + ... + 1340121.

It is an arithmetic number, because the mean of its divisors is an integer number (569221380).

Almost surely, 254492874128 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 54492874128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102459848400).

54492874128 is an abundant number, since it is smaller than the sum of its proper divisors (150426822672).

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

54492874128 is a wasteful number, since it uses less digits than its factorization.

54492874128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41355 (or 41339 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 54492874128 in words is "fifty-four billion, four hundred ninety-two million, eight hundred seventy-four thousand, one hundred twenty-eight".