Search a number
-
+
53424648576 = 2733134992383
BaseRepresentation
bin110001110000010110…
…110111000110000000
312002220020220100022000
4301300112313012000
51333403202223301
640313135344000
73600625006635
oct616026670600
9162806810260
1053424648576
1120725904232
12a42b982000
135065415ac0
14282b4b618c
1515ca36a786
hexc705b7180

53424648576 has 256 divisors, whose sum is σ = 170217600000. Its totient is φ = 16398526464.

The previous prime is 53424648553. The next prime is 53424648593. The reversal of 53424648576 is 67584642435.

53424648576 is a `hidden beast` number, since 5 + 3 + 4 + 2 + 4 + 64 + 8 + 576 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22417881 + ... + 22420263.

It is an arithmetic number, because the mean of its divisors is an integer number (664912500).

Almost surely, 253424648576 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 53424648576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85108800000).

53424648576 is an abundant number, since it is smaller than the sum of its proper divisors (116792951424).

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

53424648576 is a wasteful number, since it uses less digits than its factorization.

53424648576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2900 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 53424648576 in words is "fifty-three billion, four hundred twenty-four million, six hundred forty-eight thousand, five hundred seventy-six".