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64082440593 = 3217316123631
BaseRepresentation
bin111011101011100111…
…000111000110010001
320010102000102021102200
4323223213013012101
52022220101044333
645234501033413
74426010520603
oct735347070621
9203360367380
1064082440593
11251a495a106
12105050b5869
136073484b02
14315cb47173
151a00d5ec13
hexeeb9c7191

64082440593 has 72 divisors (see below), whose sum is σ = 102884041728. Its totient is φ = 38263104000.

The previous prime is 64082440567. The next prime is 64082440607. The reversal of 64082440593 is 39504428046.

64082440593 is a `hidden beast` number, since 6 + 40 + 82 + 440 + 5 + 93 = 666.

It is not a de Polignac number, because 64082440593 - 28 = 64082440337 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64082440553) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17646888 + ... + 17650518.

It is an arithmetic number, because the mean of its divisors is an integer number (1428945024).

Almost surely, 264082440593 is an apocalyptic number.

It is an amenable number.

64082440593 is a deficient number, since it is larger than the sum of its proper divisors (38801601135).

64082440593 is a wasteful number, since it uses less digits than its factorization.

64082440593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 64082440593 in words is "sixty-four billion, eighty-two million, four hundred forty thousand, five hundred ninety-three".

Divisors: 1 3 9 17 31 51 61 93 153 183 279 527 549 1037 1581 1891 3111 3631 3721 4743 5673 9333 10893 11163 17019 32147 32679 33489 61727 63257 96441 112561 115351 185181 189771 221491 289323 337683 346053 555543 569313 664473 1013049 1038159 1913537 1960967 1993419 3765347 5740611 5882901 6866221 11296041 13510951 17221833 17648703 20598663 33888123 40532853 61795989 116725757 121598559 229686167 350177271 418839481 689058501 1050531813 1256518443 2067175503 3769555329 7120271177 21360813531 64082440593