Search a number
-
+
53927976960 = 2133351121331
BaseRepresentation
bin110010001110010110…
…111010000000000000
312011012100000002001000
4302032112322000000
51340421030230320
640435115412000
73616246145424
oct621626720000
9164170002030
1053927976960
1120963a34300
12a550454000
135115794b50
142878296b84
15160963ec90
hexc8e5ba000

53927976960 has 1344 divisors, whose sum is σ = 234279521280. Its totient is φ = 11678515200.

The previous prime is 53927976931. The next prime is 53927976979. The reversal of 53927976960 is 6967972935.

53927976960 is a `hidden beast` number, since 539 + 2 + 7 + 9 + 7 + 6 + 96 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 1739612145 + ... + 1739612175.

It is an arithmetic number, because the mean of its divisors is an integer number (174315120).

Almost surely, 253927976960 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 53927976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117139760640).

53927976960 is an abundant number, since it is smaller than the sum of its proper divisors (180351544320).

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

53927976960 is a wasteful number, since it uses less digits than its factorization.

53927976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 63.

The spelling of 53927976960 in words is "fifty-three billion, nine hundred twenty-seven million, nine hundred seventy-six thousand, nine hundred sixty".