Search a number
-
+
66047584680 = 233557111729179
BaseRepresentation
bin111101100000101111…
…100010100110101000
320022110222011221100000
4331200233202212220
52040231140202210
650201500543000
74525502130630
oct754057424650
9208428157300
1066047584680
1126013159a30
1210973251a60
1362c7646b6c
1432a7b2b6c0
151ab8639ac0
hexf60be29a8

66047584680 has 1536 divisors, whose sum is σ = 305690112000. Its totient is φ = 12401786880.

The previous prime is 66047584667. The next prime is 66047584703. The reversal of 66047584680 is 8648574066.

66047584680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 368980831 + ... + 368981009.

It is an arithmetic number, because the mean of its divisors is an integer number (199017000).

Almost surely, 266047584680 is an apocalyptic number.

66047584680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66047584680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152845056000).

66047584680 is an abundant number, since it is smaller than the sum of its proper divisors (239642527320).

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

66047584680 is a wasteful number, since it uses less digits than its factorization.

66047584680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 66047584680 in words is "sixty-six billion, forty-seven million, five hundred eighty-four thousand, six hundred eighty".