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66402042402642 = 23233720116466787
BaseRepresentation
bin11110001100100011011100…
…01001100101011101010010
322201002222021111122020120120
433012101232021211131102
532200412340323341032
6353120402133251110
716662250340455362
oct1706215611453522
9281088244566516
1066402042402642
111a180a47925221
1275451b1793a96
132b088bb71bc9b
141257c39a609a2
157a24098c062c
hex3c646e265752

66402042402642 has 64 divisors (see below), whose sum is σ = 142394326078464. Its totient is φ = 20589211938240.

The previous prime is 66402042402611. The next prime is 66402042402643. The reversal of 66402042402642 is 24620424020466.

It is a happy number.

66402042402642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66402042402594 and 66402042402603.

It is not an unprimeable number, because it can be changed into a prime (66402042402643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7034773 + ... + 13501559.

It is an arithmetic number, because the mean of its divisors is an integer number (2224911344976).

Almost surely, 266402042402642 is an apocalyptic number.

66402042402642 is an abundant number, since it is smaller than the sum of its proper divisors (75992283675822).

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

66402042402642 is a wasteful number, since it uses less digits than its factorization.

66402042402642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6468863.

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 66402042402642 in words is "sixty-six trillion, four hundred two billion, forty-two million, four hundred two thousand, six hundred forty-two".

Divisors: 1 2 3 6 23 37 46 69 74 111 138 222 851 1702 2011 2553 4022 5106 6033 12066 46253 74407 92506 138759 148814 223221 277518 446442 1711361 3422722 5134083 6466787 10268166 12933574 19400361 38800722 148736101 239271119 297472202 446208303 478542238 717813357 892416606 1435626714 5503235737 11006471474 13004708657 16509707211 26009417314 33019414422 39014125971 78028251942 299108299111 481174220309 598216598222 897324897333 962348440618 1443522660927 1794649794666 2887045321854 11067007067107 22134014134214 33201021201321 66402042402642