Search a number
-
+
66025050912 = 2533313896337
BaseRepresentation
bin111101011111011001…
…100101001100100000
320022102101210002211000
4331133121211030200
52040204403112122
650155333552000
74525106446542
oct753731451440
9208371702730
1066025050912
1126001468a87
12109677a5600
1362c2a87382
1432a4b43692
151ab66880ac
hexf5f665320

66025050912 has 192 divisors, whose sum is σ = 199327564800. Its totient is φ = 21240299520.

The previous prime is 66025050911. The next prime is 66025050913. The reversal of 66025050912 is 21905052066.

66025050912 is a `hidden beast` number, since 6 + 60 + 2 + 505 + 0 + 91 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (66025050911) and next prime (66025050913).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66025050911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10415808 + ... + 10422144.

It is an arithmetic number, because the mean of its divisors is an integer number (1038164400).

Almost surely, 266025050912 is an apocalyptic number.

66025050912 is a gapful number since it is divisible by the number (62) 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 66025050912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99663782400).

66025050912 is an abundant number, since it is smaller than the sum of its proper divisors (133302513888).

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

66025050912 is a wasteful number, since it uses less digits than its factorization.

66025050912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6776 (or 6762 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 66025050912 in words is "sixty-six billion, twenty-five million, fifty thousand, nine hundred twelve".