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66053268405 = 3252380978887
BaseRepresentation
bin111101100001000101…
…001110001110110101
320022111100212200221100
4331201011032032311
52040234114042110
650202222440313
74525601342355
oct754105161665
9208440780840
1066053268405
1126016391223
1210975133099
1362c8886c07
1432a87aab65
151ab8dadbc0
hexf6114e3b5

66053268405 has 48 divisors (see below), whose sum is σ = 119619452160. Its totient is φ = 33654660864.

The previous prime is 66053268401. The next prime is 66053268431. The reversal of 66053268405 is 50486235066.

66053268405 is a `hidden beast` number, since 6 + 605 + 32 + 6 + 8 + 4 + 0 + 5 = 666.

It is not a de Polignac number, because 66053268405 - 22 = 66053268401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66053268401) 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 47 ways as a sum of consecutive naturals, for example, 797872 + ... + 876758.

It is an arithmetic number, because the mean of its divisors is an integer number (2492071920).

Almost surely, 266053268405 is an apocalyptic number.

It is an amenable number.

66053268405 is a deficient number, since it is larger than the sum of its proper divisors (53566183755).

66053268405 is a wasteful number, since it uses less digits than its factorization.

66053268405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79730 (or 79727 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 66053268405 in words is "sixty-six billion, fifty-three million, two hundred sixty-eight thousand, four hundred five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 809 1035 2427 4045 7281 12135 18607 36405 55821 78887 93035 167463 236661 279105 394435 709983 837315 1183305 1814401 3549915 5443203 9072005 16329609 27216015 63819583 81648045 191458749 319097915 574376247 957293745 1467850409 2871881235 4403551227 7339252045 13210653681 22017756135 66053268405