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64351645031961 = 3471748713708777
BaseRepresentation
bin11101010000111000010001…
…11100010101111000011001
322102211221211210020200220000
432220130020330111320121
531413314132112010321
6344510423153523213
716361152516413420
oct1650341074257031
9272757753220800
1064351645031961
1119560419a81971
127273943873509
1329ba445cb7321
1411c68c9ba22b7
15768e02208826
hex3a8708f15e19

64351645031961 has 80 divisors (see below), whose sum is σ = 116564532961536. Its totient is φ = 34538219265024.

The previous prime is 64351645031959. The next prime is 64351645031987. The reversal of 64351645031961 is 16913054615346.

64351645031961 is a `hidden beast` number, since 6 + 4 + 3 + 5 + 1 + 64 + 503 + 19 + 61 = 666.

It is not a de Polignac number, because 64351645031961 - 21 = 64351645031959 is a prime.

It is a super-3 number, since 3×643516450319613 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 64351645031898 and 64351645031907.

It is not an unprimeable number, because it can be changed into a prime (64351645031461) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2160196 + ... + 11548581.

Almost surely, 264351645031961 is an apocalyptic number.

It is an amenable number.

64351645031961 is a deficient number, since it is larger than the sum of its proper divisors (52212887929575).

64351645031961 is a wasteful number, since it uses less digits than its factorization.

64351645031961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13709300 (or 13709291 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 64351645031961 in words is "sixty-four trillion, three hundred fifty-one billion, six hundred forty-five million, thirty-one thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 357 459 487 567 1071 1377 1461 3213 3409 4383 8279 9639 10227 13149 24837 30681 39447 57953 74511 92043 173859 223533 276129 521577 670599 1564731 4694193 13708777 41126331 95961439 123378993 233049209 287884317 370136979 699147627 863652951 1110410937 1631344463 2097442881 2590958853 4894033389 6292328643 6676174399 7772876559 14682100167 18876985929 20028523197 44046300501 46733220793 60085569591 113494964783 132138901503 140199662379 180256708773 340484894349 420598987137 540770126319 794464753481 1021454683047 1261796961411 2383394260443 3064364049141 3785390884233 7150182781329 9193092147423 21450548343987 64351645031961