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664172541 = 34172367313
BaseRepresentation
bin100111100101100…
…111011111111101
31201021202110110000
4213211213133331
52330012010131
6145523304513
722313242044
oct4745473775
91637673400
10664172541
113109a972a
1216651b139
13a77a6b06
14642cd55b
153d496ce6
hex279677fd

664172541 has 80 divisors (see below), whose sum is σ = 1116111744. Its totient is φ = 391412736.

The previous prime is 664172501. The next prime is 664172549. The reversal of 664172541 is 145271466.

664172541 is a `hidden beast` number, since 6 + 6 + 41 + 72 + 541 = 666.

It is not a de Polignac number, because 664172541 - 210 = 664171517 is a prime.

It is a super-2 number, since 2×6641725412 = 882250328436793362, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 664172496 and 664172505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664172549) 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, 2121801 + ... + 2122113.

Almost surely, 2664172541 is an apocalyptic number.

It is an amenable number.

664172541 is a deficient number, since it is larger than the sum of its proper divisors (451939203).

664172541 is a wasteful number, since it uses less digits than its factorization.

664172541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 423 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 664172541 is about 25771.5451806833. The cubic root of 664172541 is about 872.4896936137.

The spelling of 664172541 in words is "six hundred sixty-four million, one hundred seventy-two thousand, five hundred forty-one".

Divisors: 1 3 9 17 23 27 51 67 69 81 153 201 207 313 391 459 603 621 939 1139 1173 1377 1541 1809 1863 2817 3417 3519 4623 5321 5427 7199 8451 10251 10557 13869 15963 20971 21597 25353 26197 30753 31671 41607 47889 62913 64791 78591 92259 122383 124821 143667 188739 194373 235773 356507 367149 431001 482333 566217 583119 707319 1069521 1101447 1446999 1698651 2121957 3208563 3304341 4340997 8199661 9625689 9913023 13022991 24598983 28877067 39068973 73796949 221390847 664172541