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640606543641 = 3411327872
BaseRepresentation
bin10010101001001110010…
…00000001111100011001
32021020111222020012110000
421110213020001330121
540443430233344031
61210142433243213
764165553530431
oct11244710017431
92236458205400
10640606543641
11227752769879
12a41a1a03509
1348541589c1c
142301121d2c1
15119e4c163e6
hex9527201f19

640606543641 has 45 divisors (see below), whose sum is σ = 966727398351. Its totient is φ = 422753784768.

The previous prime is 640606543631. The next prime is 640606543649. The reversal of 640606543641 is 146345606046.

The square root of 640606543641 is 800379.

It is a perfect power (a square), and thus also a powerful number.

640606543641 is a `hidden beast` number, since 6 + 4 + 0 + 60 + 6 + 543 + 6 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11288000025 + 629318543616 = 106245^2 + 793296^2 .

It is not a de Polignac number, because 640606543641 - 217 = 640606412569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (640606543649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 813985050 + ... + 813985836.

Almost surely, 2640606543641 is an apocalyptic number.

640606543641 is the 800379-th square number.

640606543641 is the 400190-th centered octagonal number.

It is an amenable number.

640606543641 is a deficient number, since it is larger than the sum of its proper divisors (326120854710).

640606543641 is an frugal number, since it uses more digits than its factorization.

640606543641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 640606543641 in words is "six hundred forty billion, six hundred six million, five hundred forty-three thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 113 339 787 1017 2361 3051 7083 9153 12769 21249 38307 63747 88931 114921 266793 344763 619369 800379 1034289 1858107 2401137 5574321 7203411 10049203 16722963 30147609 50168889 69988697 90442827 209966091 271328481 629898273 813985443 1889694819 5669084457 7908722761 23726168283 71178504849 213535514547 640606543641