Search a number
-
+
54648521064 = 23321574834441
BaseRepresentation
bin110010111001010011…
…100100000101101000
312020001112211111201200
4302321103210011220
51343410010133224
641034415244200
73643145523204
oct627123440550
9166045744650
1054648521064
11211a37357a5
12a711819660
1351cbb481c7
142905c5bb04
15164ca1e5c9
hexcb94e4168

54648521064 has 48 divisors (see below), whose sum is σ = 148949158020. Its totient is φ = 18100143360.

The previous prime is 54648521003. The next prime is 54648521101. The reversal of 54648521064 is 46012584645.

It is a happy number.

54648521064 is a `hidden beast` number, since 5 + 4 + 64 + 8 + 521 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50207364900 + 4441156164 = 224070^2 + 66642^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2405917 + ... + 2428524.

Almost surely, 254648521064 is an apocalyptic number.

It is an amenable number.

54648521064 is an abundant number, since it is smaller than the sum of its proper divisors (94300636956).

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

54648521064 is a wasteful number, since it uses less digits than its factorization.

54648521064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834610 (or 4834603 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 54648521064 in words is "fifty-four billion, six hundred forty-eight million, five hundred twenty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 11304 4834441 9668882 14503323 19337764 29006646 38675528 43509969 58013292 87019938 116026584 174039876 348079752 759007237 1518014474 2277021711 3036028948 4554043422 6072057896 6831065133 9108086844 13662130266 18216173688 27324260532 54648521064