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66545297280 = 273557115557
BaseRepresentation
bin111101111110011010…
…001010011110000000
320100202122201100200000
4331332122022132000
52042241044003110
650323120400000
74544024460030
oct757632123600
9210678640600
1066545297280
11262490a3860
1210a91a76000
1363767aaa67
143313c898c0
151ae71a01c0
hexf7e68a780

66545297280 has 768 divisors, whose sum is σ = 297154690560. Its totient is φ = 13825105920.

The previous prime is 66545297257. The next prime is 66545297323. The reversal of 66545297280 is 8279254566.

66545297280 is a `hidden beast` number, since 6 + 6 + 545 + 2 + 97 + 2 + 8 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11972262 + ... + 11977818.

It is an arithmetic number, because the mean of its divisors is an integer number (386920170).

Almost surely, 266545297280 is an apocalyptic number.

66545297280 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 66545297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148577345280).

66545297280 is an abundant number, since it is smaller than the sum of its proper divisors (230609393280).

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

66545297280 is a wasteful number, since it uses less digits than its factorization.

66545297280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5609 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 66545297280 in words is "sixty-six billion, five hundred forty-five million, two hundred ninety-seven thousand, two hundred eighty".