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64152278089 = 1724723172
BaseRepresentation
bin111011101111110001…
…100001010001001001
320010120212211101110121
4323233301201101021
52022340440344324
645245433543241
74430516236504
oct735761412111
9203525741417
1064152278089
112523031a049
1210524574b21
136084a97683
14316812613b
151a070575e4
hexeefc61449

64152278089 has 27 divisors (see below), whose sum is σ = 69849069493. Its totient is φ = 58907547008.

The previous prime is 64152278059. The next prime is 64152278111. The reversal of 64152278089 is 98087225146.

The square root of 64152278089 is 253283.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3960562489 + 60191715600 = 62933^2 + 245340^2 .

It is not a de Polignac number, because 64152278089 - 27 = 64152277961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64152278059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 202372959 + ... + 202373275.

Almost surely, 264152278089 is an apocalyptic number.

64152278089 is the 253283-rd square number.

64152278089 is the 126642-nd centered octagonal number.

It is an amenable number.

64152278089 is a deficient number, since it is larger than the sum of its proper divisors (5696791404).

64152278089 is an frugal number, since it uses more digits than its factorization.

64152278089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 64152278089 in words is "sixty-four billion, one hundred fifty-two million, two hundred seventy-eight thousand, eighty-nine".

Divisors: 1 17 47 289 317 799 2209 5389 13583 14899 37553 91613 100489 253283 638401 700253 1708313 4305811 4722983 11904301 29041321 80290711 202373117 221980201 1364942087 3773663417 64152278089