Search a number
-
+
54669864960 = 2123251791657
BaseRepresentation
bin110010111010100100…
…111111000000000000
312020010000222220001100
4302322210333000000
51343430441134320
641040500534400
73643525120254
oct627244770000
9166100886040
1054669864960
1121204793787
12a7189b1400
1352033ac229
142908a16264
15164e838790
hexcba93f000

54669864960 has 312 divisors, whose sum is σ = 190672719120. Its totient is φ = 14488436736.

The previous prime is 54669864943. The next prime is 54669864971. The reversal of 54669864960 is 6946896645.

54669864960 is a `hidden beast` number, since 5 + 4 + 6 + 69 + 86 + 496 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32992452 + ... + 32994108.

It is an arithmetic number, because the mean of its divisors is an integer number (611130510).

Almost surely, 254669864960 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 54669864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95336359560).

54669864960 is an abundant number, since it is smaller than the sum of its proper divisors (136002854160).

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

54669864960 is a wasteful number, since it uses less digits than its factorization.

54669864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 54669864960 in words is "fifty-four billion, six hundred sixty-nine million, eight hundred sixty-four thousand, nine hundred sixty".