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66144244167 = 3416315973137
BaseRepresentation
bin111101100110100000…
…010001000111000111
320022201201001202020000
4331212200101013013
52040430411303132
650215232412343
74531054541001
oct754640210707
9208651052200
1066144244167
1126062779701
121099b6a70b3
13631168b021
1432b68cd371
151ac1d7e87c
hexf668111c7

66144244167 has 40 divisors (see below), whose sum is σ = 99508214256. Its totient is φ = 43784229888.

The previous prime is 66144244151. The next prime is 66144244193. The reversal of 66144244167 is 76144244166.

66144244167 is a `hidden beast` number, since 6 + 6 + 1 + 442 + 44 + 167 = 666.

It is not a de Polignac number, because 66144244167 - 24 = 66144244151 is a prime.

It is a super-2 number, since 2×661442441672 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66144244367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21083623 + ... + 21086759.

Almost surely, 266144244167 is an apocalyptic number.

66144244167 is a deficient number, since it is larger than the sum of its proper divisors (33363970089).

66144244167 is a wasteful number, since it uses less digits than its factorization.

66144244167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4900 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

Subtracting 66144244167 from its reverse (76144244166), we obtain a palindrome (9999999999).

The spelling of 66144244167 in words is "sixty-six billion, one hundred forty-four million, two hundred forty-four thousand, one hundred sixty-seven".

Divisors: 1 3 9 27 81 163 489 1467 1597 3137 4401 4791 9411 13203 14373 28233 43119 84699 129357 254097 260311 511331 780933 1533993 2342799 4601979 5009789 7028397 13805937 15029367 21085191 41417811 45088101 135264303 405792909 816595607 2449786821 7349360463 22048081389 66144244167