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66667400074067 = 13229671264116061
BaseRepresentation
bin11110010100010001101101…
…01100110001001101010011
322202001100012201220122100012
433022020312230301031103
532214234313404332232
6353442325241145135
720020363215452402
oct1712106654611523
9282040181818305
1066667400074067
111a273538365301
12758870948b1ab
132b2792a467b00
141266a0dd9d639
157a928ab009b2
hex3ca236b31353

66667400074067 has 48 divisors (see below), whose sum is σ = 75804792749280. Its totient is φ = 58522002739200.

The previous prime is 66667400074063. The next prime is 66667400074069. The reversal of 66667400074067 is 76047000476666.

66667400074067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66667400074067 - 22 = 66667400074063 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66667400073997 and 66667400074015.

It is not an unprimeable number, because it can be changed into a prime (66667400074063) 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 47 ways as a sum of consecutive naturals, for example, 4150879217 + ... + 4150895277.

It is an arithmetic number, because the mean of its divisors is an integer number (1579266515610).

Almost surely, 266667400074067 is an apocalyptic number.

66667400074067 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

66667400074067 is a deficient number, since it is larger than the sum of its proper divisors (9137392675213).

66667400074067 is a wasteful number, since it uses less digits than its factorization.

66667400074067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28824 (or 28811 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 59.

The spelling of 66667400074067 in words is "sixty-six trillion, six hundred sixty-seven billion, four hundred million, seventy-four thousand, sixty-seven".

Divisors: 1 13 29 67 169 377 871 1943 4901 11323 12641 16061 25259 164333 208793 328367 366589 465769 846947 1076087 2136329 2714309 4765657 6054997 11010311 13989131 24561463 31206523 61953541 78714961 143134043 181858703 203027101 319299019 405684799 2639352313 4150887247 5273902387 5887785929 13602815767 34311580069 76541217077 176836604971 394481657243 995035822001 2298875864623 5128261544159 66667400074067