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66361055142053 = 731433574323509
BaseRepresentation
bin11110001011010111000110…
…00111100110000010100101
322200222001111000212200011002
433011223203013212002211
532144224420104021203
6353045503050123045
716656266544503000
oct1705534307460245
9280861430780132
1066361055142053
111a165624664741
127539273120485
132b04a88c6cc79
141255c6c300537
157a130b3c1d88
hex3c5ae31e60a5

66361055142053 has 32 divisors (see below), whose sum is σ = 77459769984000. Its totient is φ = 56828895919488.

The previous prime is 66361055141993. The next prime is 66361055142121. The reversal of 66361055142053 is 35024155016366.

66361055142053 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 66361055142053 - 216 = 66361055076517 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66361055141989 and 66361055142007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66361055142353) 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, 2822781863 + ... + 2822805371.

It is an arithmetic number, because the mean of its divisors is an integer number (2420617812000).

Almost surely, 266361055142053 is an apocalyptic number.

It is an amenable number.

66361055142053 is a deficient number, since it is larger than the sum of its proper divisors (11098714841947).

66361055142053 is a wasteful number, since it uses less digits than its factorization.

66361055142053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30706 (or 30692 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 47.

The spelling of 66361055142053 in words is "sixty-six trillion, three hundred sixty-one billion, fifty-five million, one hundred forty-two thousand, fifty-three".

Divisors: 1 7 49 343 1433 5743 10031 23509 40201 70217 164563 281407 491519 1151941 1969849 8063587 8229719 33688397 57608033 135012187 235818779 403256231 945085309 1650731453 2822793617 6615597163 11555120171 46309180141 193472463971 1354307247797 9480150734579 66361055142053