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661428505824165 = 32534897421194121
BaseRepresentation
bin1001011001100100001101001…
…1001000100100101110100101
310012201220221120211000101121200
42112121003103020210232211
51143143321034442333130
610302424021044233113
7256214426654455002
oct22631032310445645
93181827524011550
10661428505824165
1118182a28814aa02
126222533839b799
132250b595923a51
14b94944bdd08a9
155170417760760
hex25990d3224ba5

661428505824165 has 24 divisors (see below), whose sum is σ = 1146508932625368. Its totient is φ = 352751760276480.

The previous prime is 661428505824139. The next prime is 661428505824311. The reversal of 661428505824165 is 561428505824166.

661428505824165 is a `hidden beast` number, since 6 + 6 + 1 + 4 + 2 + 8 + 5 + 0 + 582 + 41 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5458162185441 + 655970343638724 = 2336271^2 + 25611918^2 .

It is not a de Polignac number, because 661428505824165 - 215 = 661428505791397 is a prime.

It is a super-4 number, since 4×6614285058241654 (a number of 60 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209026696 + ... + 212167425.

It is an arithmetic number, because the mean of its divisors is an integer number (47771205526057).

Almost surely, 2661428505824165 is an apocalyptic number.

It is an amenable number.

661428505824165 is a deficient number, since it is larger than the sum of its proper divisors (485080426801203).

661428505824165 is a wasteful number, since it uses less digits than its factorization.

661428505824165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421229029 (or 421229026 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

Subtracting from 661428505824165 its reverse (561428505824166), we obtain a palindrome (99999999999999).

The spelling of 661428505824165 in words is "six hundred sixty-one trillion, four hundred twenty-eight billion, five hundred five million, eight hundred twenty-four thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 34897 104691 174485 314073 523455 1570365 421194121 1263582363 2105970605 3790747089 6317911815 18953735445 14698411240537 44095233721611 73492056202685 132285701164833 220476168608055 661428505824165