Search a number
-
+
65665506106053 = 3272345317809597
BaseRepresentation
bin11101110111000111100010…
…01010100101101011000101
322121111120011000122200011200
432323203301022211223011
532101330424030343203
6351354152252253113
716555114312315620
oct1673436112455305
9277446130580150
1065665506106053
1119a17648334197
1274464b9171199
132a842cc99b149
1412303281bcdb7
1578d19ce6d9a3
hex3bb8f12a5ac5

65665506106053 has 24 divisors (see below), whose sum is σ = 113113252756608. Its totient is φ = 35891705200032.

The previous prime is 65665506106051. The next prime is 65665506106121. The reversal of 65665506106053 is 35060160556656.

65665506106053 is a `hidden beast` number, since 6 + 5 + 6 + 65 + 506 + 10 + 60 + 5 + 3 = 666.

It is not a de Polignac number, because 65665506106053 - 21 = 65665506106051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65665506106051) 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, 22658903350 + ... + 22658906247.

It is an arithmetic number, because the mean of its divisors is an integer number (4713052198192).

Almost surely, 265665506106053 is an apocalyptic number.

65665506106053 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

65665506106053 is a deficient number, since it is larger than the sum of its proper divisors (47447746650555).

65665506106053 is a wasteful number, since it uses less digits than its factorization.

65665506106053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45317809633 (or 45317809630 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 65665506106053 in words is "sixty-five trillion, six hundred sixty-five billion, five hundred six million, one hundred six thousand, fifty-three".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 45317809597 135953428791 317224667179 407860286373 951674001537 1042309620731 2855022004611 3126928862193 7296167345117 9380786586579 21888502035351 65665506106053