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65665016541 = 32611491575113
BaseRepresentation
bin111101001001111100…
…001010001011011101
320021111022022110111200
4331021330022023131
52033440221012131
650055513110113
74513145300625
oct751174121335
9207438273450
1065665016541
112593720a913
12108870b8339
1362662c9a97
14326cdc3885
151a94c6b2e6
hexf49f0a2dd

65665016541 has 48 divisors (see below), whose sum is σ = 97688650800. Its totient is φ = 42489308160.

The previous prime is 65665016503. The next prime is 65665016569. The reversal of 65665016541 is 14561056656.

65665016541 is a `hidden beast` number, since 6 + 56 + 6 + 50 + 1 + 6 + 541 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44677699641 + 20987316900 = 211371^2 + 144870^2 .

It is not a de Polignac number, because 65665016541 - 29 = 65665016029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65665216541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12840201 + ... + 12845313.

It is an arithmetic number, because the mean of its divisors is an integer number (2035180225).

Almost surely, 265665016541 is an apocalyptic number.

65665016541 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

65665016541 is a deficient number, since it is larger than the sum of its proper divisors (32023634259).

65665016541 is a wasteful number, since it uses less digits than its factorization.

65665016541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 65665016541 in words is "sixty-five billion, six hundred sixty-five million, sixteen thousand, five hundred forty-one".

Divisors: 1 3 9 61 149 157 183 447 471 549 1341 1413 5113 9089 9577 15339 23393 27267 28731 46017 70179 81801 86193 210537 311893 761837 802741 935679 1426973 2285511 2408223 2807037 4280919 6856533 7224669 12842757 46472057 48967201 119608409 139416171 146901603 358825227 418248513 440704809 1076475681 7296112949 21888338847 65665016541