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66145414468 = 22747131383683
BaseRepresentation
bin111101100110100100…
…101110110101000100
320022201210021012120111
4331212210232311010
52040431211230333
650215313442404
74531100513650
oct754644566504
9208653235514
1066145414468
11260633a89a1
121099bb70404
1363119aa903
1432b6b15a60
151ac20114cd
hexf6692ed44

66145414468 has 48 divisors (see below), whose sum is σ = 136137222144. Its totient is φ = 27533020320.

The previous prime is 66145414463. The next prime is 66145414471. The reversal of 66145414468 is 86441454166.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (66145414463) 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, 19446 + ... + 364237.

It is an arithmetic number, because the mean of its divisors is an integer number (2836192128).

Almost surely, 266145414468 is an apocalyptic number.

It is an amenable number.

66145414468 is an abundant number, since it is smaller than the sum of its proper divisors (69991807676).

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

66145414468 is a wasteful number, since it uses less digits than its factorization.

66145414468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383872 (or 383870 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 49.

The spelling of 66145414468 in words is "sixty-six billion, one hundred forty-five million, four hundred fourteen thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 47 94 131 188 262 329 524 658 917 1316 1834 3668 6157 12314 24628 43099 86198 172396 383683 767366 1534732 2685781 5371562 10743124 18033101 36066202 50262473 72132404 100524946 126231707 201049892 252463414 351837311 504926828 703674622 1407349244 2362336231 4724672462 9449344924 16536353617 33072707234 66145414468