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66188295018 = 23310311900089
BaseRepresentation
bin111101101001001000…
…010011101101101010
320022211202221202122000
4331221020103231222
52041023200420033
650223444511430
74532131140066
oct755110235552
9208752852560
1066188295018
112608562676a
12109b23ab576
13631a842611
1432bc6b8aa6
151ac5b81a13
hexf69213b6a

66188295018 has 32 divisors (see below), whose sum is σ = 148513123200. Its totient is φ = 21848561568.

The previous prime is 66188295013. The next prime is 66188295071. The reversal of 66188295018 is 81059288166.

It is a happy number.

66188295018 is a `hidden beast` number, since 6 + 618 + 8 + 2 + 9 + 5 + 0 + 18 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66188295013) 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 15 ways as a sum of consecutive naturals, for example, 5944483 + ... + 5955606.

It is an arithmetic number, because the mean of its divisors is an integer number (4641035100).

Almost surely, 266188295018 is an apocalyptic number.

66188295018 is an abundant number, since it is smaller than the sum of its proper divisors (82324828182).

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

66188295018 is a wasteful number, since it uses less digits than its factorization.

66188295018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11900203 (or 11900197 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

It can be divided in two parts, 661882 and 95018, that added together give a square (756900 = 8702).

The spelling of 66188295018 in words is "sixty-six billion, one hundred eighty-eight million, two hundred ninety-five thousand, eighteen".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 927 1854 2781 5562 11900089 23800178 35700267 71400534 107100801 214201602 321302403 642604806 1225709167 2451418334 3677127501 7354255002 11031382503 22062765006 33094147509 66188295018