Search a number
-
+
65353831184214 = 2331210256133041
BaseRepresentation
bin11101101110000010111111…
…11001000111011101010110
322120101202122212022011111000
432313001133321013131112
532031224121240343324
6350555045141124130
716523441601225246
oct1667013771073526
9276352585264430
1065353831184214
1119907449a29361
1273b60159b9646
132a60abc176481
14121d1dc6bdb26
1578500a8539c9
hex3b705fe47756

65353831184214 has 16 divisors (see below), whose sum is σ = 145230735965040. Its totient is φ = 21784610394720.

The previous prime is 65353831184209. The next prime is 65353831184233. The reversal of 65353831184214 is 41248113835356.

It is a happy number.

65353831184214 is a `hidden beast` number, since 6 + 5 + 3 + 5 + 38 + 311 + 84 + 214 = 666.

It is a super-2 number, since 2×653538311842142 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 1210256133041 = 65353831184214 / (6 + 5 + 3 + 5 + 3 + 8 + 3 + 1 + 1 + 8 + 4 + 2 + 1 + 4).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605128066467 + ... + 605128066574.

It is an arithmetic number, because the mean of its divisors is an integer number (9076920997815).

Almost surely, 265353831184214 is an apocalyptic number.

65353831184214 is an abundant number, since it is smaller than the sum of its proper divisors (79876904780826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65353831184214 is a wasteful number, since it uses less digits than its factorization.

65353831184214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210256133052 (or 1210256133046 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 65353831184214 in words is "sixty-five trillion, three hundred fifty-three billion, eight hundred thirty-one million, one hundred eighty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 1210256133041 2420512266082 3630768399123 7261536798246 10892305197369 21784610394738 32676915592107 65353831184214