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66434611643466 = 23113727205000673
BaseRepresentation
bin11110001101100000000110…
…11011011000010001001010
322201020002100022102002210020
433012300003123120101022
532201431041040042331
6353143350025201310
716664512415445303
oct1706600333302112
9281202308362706
1066434611643466
111a193840364980
12754b581030236
132b0b9ac177611
1412596493c17aa
157a31b3d50c96
hex3c6c036d844a

66434611643466 has 32 divisors (see below), whose sum is σ = 148865763688128. Its totient is φ = 19587600483840.

The previous prime is 66434611643461. The next prime is 66434611643467.

66434611643466 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (66434611643461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13602497895 + ... + 13602502778.

It is an arithmetic number, because the mean of its divisors is an integer number (4652055115254).

Almost surely, 266434611643466 is an apocalyptic number.

66434611643466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66434611643466 is an abundant number, since it is smaller than the sum of its proper divisors (82431152044662).

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

66434611643466 is a wasteful number, since it uses less digits than its factorization.

66434611643466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27205000726.

The product of its digits is 107495424, while the sum is 60.

The spelling of 66434611643466 in words is "sixty-six trillion, four hundred thirty-four billion, six hundred eleven million, six hundred forty-three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 27205000673 54410001346 81615002019 163230004038 299255007403 598510014806 897765022209 1006585024901 1795530044418 2013170049802 3019755074703 6039510149406 11072435273911 22144870547822 33217305821733 66434611643466