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66223771680 = 25351122075683
BaseRepresentation
bin111101101011001111…
…101001000000100000
320022221020201011110110
4331223033221000200
52041111241143210
650231153131320
74533041525433
oct755317510040
9208836634413
1066223771680
11260a3657920
1210a02259b40
136324cb4321
1432c32b181a
151ac8d3d420
hexf6b3e9020

66223771680 has 192 divisors, whose sum is σ = 227712135168. Its totient is φ = 16044149760.

The previous prime is 66223771561. The next prime is 66223771687. The reversal of 66223771680 is 8617732266.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (66223771687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11650119 + ... + 11655801.

It is an arithmetic number, because the mean of its divisors is an integer number (1186000704).

Almost surely, 266223771680 is an apocalyptic number.

66223771680 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 66223771680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113856067584).

66223771680 is an abundant number, since it is smaller than the sum of its proper divisors (161488363488).

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

66223771680 is a wasteful number, since it uses less digits than its factorization.

66223771680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7919 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 66223771680 in words is "sixty-six billion, two hundred twenty-three million, seven hundred seventy-one thousand, six hundred eighty".