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66339157248 = 2833721321961
BaseRepresentation
bin111101110010000111…
…110011010100000000
320100020021211100201000
4331302013303110000
52041330311012443
650250434212000
74535642350500
oct756207632400
9210207740630
1066339157248
11261527a77a1
1210a34a24000
136342b83b00
1432d4749a00
151ad40318d3
hexf721f3500

66339157248 has 1296 divisors, whose sum is σ = 264379953600. Its totient is φ = 16303472640.

The previous prime is 66339157237. The next prime is 66339157253. The reversal of 66339157248 is 84275193366.

66339157248 is a `hidden beast` number, since 6 + 6 + 3 + 391 + 5 + 7 + 248 = 666.

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

Its product of digits (6531840) is a multiple of the sum of its prime divisors (105).

It is a junction number, because it is equal to n+sod(n) for n = 66339157194 and 66339157203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1087527138 + ... + 1087527198.

Almost surely, 266339157248 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 66339157248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132189976800).

66339157248 is an abundant number, since it is smaller than the sum of its proper divisors (198040796352).

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

66339157248 is a wasteful number, since it uses less digits than its factorization.

66339157248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 105 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 66339157248 in words is "sixty-six billion, three hundred thirty-nine million, one hundred fifty-seven thousand, two hundred forty-eight".