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57105665616699 = 3272339410397251
BaseRepresentation
bin11001111101111111100101…
…11010011110101100111011
321111012020201000121201210100
430332333302322132230323
524441104400344213244
6321241551451450443
715012514425542640
oct1476776272365473
9244166630551710
1057105665616699
1117217416554187
1264a3563a56a23
1325b306c57ab4b
141015d01109dc7
156906b1b7eb69
hex33eff2e9eb3b

57105665616699 has 24 divisors (see below), whose sum is σ = 98368351540992. Its totient is φ = 31213034622000.

The previous prime is 57105665616613. The next prime is 57105665616719. The reversal of 57105665616699 is 99661656650175.

57105665616699 is a `hidden beast` number, since 5 + 7 + 1 + 0 + 56 + 6 + 561 + 6 + 6 + 9 + 9 = 666.

It is not a de Polignac number, because 57105665616699 - 29 = 57105665616187 is a prime.

It is a super-2 number, since 2×571056656166992 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57105665116699) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19705197177 + ... + 19705200074.

It is an arithmetic number, because the mean of its divisors is an integer number (4098681314208).

Almost surely, 257105665616699 is an apocalyptic number.

57105665616699 is a deficient number, since it is larger than the sum of its proper divisors (41262685924293).

57105665616699 is a wasteful number, since it uses less digits than its factorization.

57105665616699 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39410397287 (or 39410397284 counting only the distinct ones).

The product of its (nonzero) digits is 551124000, while the sum is 72.

The spelling of 57105665616699 in words is "fifty-seven trillion, one hundred five billion, six hundred sixty-five million, six hundred sixteen thousand, six hundred ninety-nine".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 39410397251 118231191753 275872780757 354693575259 827618342271 906439136773 2482855026813 2719317410319 6345073957411 8157952230957 19035221872233 57105665616699