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77663563041213 = 3218721746092421
BaseRepresentation
bin10001101010001001110101…
…000101100100100110111101
3101011222120020020111212002200
4101222021311011210212331
540134414434114304323
6433102052011542113
722234002330500232
oct2152116505444675
9334876206455080
1077663563041213
1122822a28719686
12886387615a939
133444847959606
141526d17ac3789
158ea31a4c6443
hex46a2751649bd

77663563041213 has 12 divisors (see below), whose sum is σ = 112181303805948. Its totient is φ = 51775431016320.

The previous prime is 77663563041161. The next prime is 77663563041293. The reversal of 77663563041213 is 31214036536677.

It is a happy number.

77663563041213 is a `hidden beast` number, since 7 + 7 + 6 + 6 + 356 + 30 + 41 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57585833092089 + 20077729949124 = 7588533^2 + 4480818^2 .

It is not a de Polignac number, because 77663563041213 - 28 = 77663563040957 is a prime.

It is a super-2 number, since 2×776635630412132 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77663563041213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77663563041293) 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 11 ways as a sum of consecutive naturals, for example, 21361258 + ... + 24731163.

It is an arithmetic number, because the mean of its divisors is an integer number (9348441983829).

Almost surely, 277663563041213 is an apocalyptic number.

It is an amenable number.

77663563041213 is a deficient number, since it is larger than the sum of its proper divisors (34517740764735).

77663563041213 is a wasteful number, since it uses less digits than its factorization.

77663563041213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46279644 (or 46279641 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 77663563041213 in words is "seventy-seven trillion, six hundred sixty-three billion, five hundred sixty-three million, forty-one thousand, two hundred thirteen".

Divisors: 1 3 9 187217 561651 1684953 46092421 138277263 414831789 8629284782357 25887854347071 77663563041213