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66188295144 = 23321481620717
BaseRepresentation
bin111101101001001000…
…010011101111101000
320022211202221202210200
4331221020103233220
52041023200421034
650223444512200
74532131140336
oct755110235750
9208752852720
1066188295144
1126085626874
12109b23ab660
13631a8426aa
1432bc6b8b56
151ac5b81a99
hexf69213be8

66188295144 has 48 divisors (see below), whose sum is σ = 179381294820. Its totient is φ = 22047832320.

The previous prime is 66188295143. The next prime is 66188295157. The reversal of 66188295144 is 44159288166.

66188295144 is a `hidden beast` number, since 6 + 618 + 8 + 2 + 9 + 5 + 14 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62045828100 + 4142467044 = 249090^2 + 64362^2 .

It is not an unprimeable number, because it can be changed into a prime (66188295143) 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 11 ways as a sum of consecutive naturals, for example, 203727 + ... + 416990.

Almost surely, 266188295144 is an apocalyptic number.

It is an amenable number.

66188295144 is an abundant number, since it is smaller than the sum of its proper divisors (113192999676).

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

66188295144 is a wasteful number, since it uses less digits than its factorization.

66188295144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622210 (or 622203 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 66188295144 in words is "sixty-six billion, one hundred eighty-eight million, two hundred ninety-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1481 2962 4443 5924 8886 11848 13329 17772 26658 35544 53316 106632 620717 1241434 1862151 2482868 3724302 4965736 5586453 7448604 11172906 14897208 22345812 44691624 919281877 1838563754 2757845631 3677127508 5515691262 7354255016 8273536893 11031382524 16547073786 22062765048 33094147572 66188295144