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5128338215 = 5711133133053
BaseRepresentation
bin1001100011010110…
…00011101100100111
3111020101212120111102
410301223003230213
541000323310330
62204514030315
7241041104240
oct46153035447
914211776442
105128338215
1121a18a4450
12bb157839b
13639614b70
1436914bcc7
15200357945
hex131ac3b27

5128338215 has 64 divisors (see below), whose sum is σ = 8529518592. Its totient is φ = 2855692800.

The previous prime is 5128338161. The next prime is 5128338251.

5128338215 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5128338215 - 26 = 5128338151 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 138629 + ... + 171681.

It is an arithmetic number, because the mean of its divisors is an integer number (133273728).

Almost surely, 25128338215 is an apocalyptic number.

5128338215 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5128338215 is a deficient number, since it is larger than the sum of its proper divisors (3401180377).

5128338215 is a wasteful number, since it uses less digits than its factorization.

5128338215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33120.

The product of its digits is 57600, while the sum is 38.

The square root of 5128338215 is about 71612.4166258897. The cubic root of 5128338215 is about 1724.4828768476.

It can be divided in two parts, 51283 and 38215, that added together give a palindrome (89498).

The spelling of 5128338215 in words is "five billion, one hundred twenty-eight million, three hundred thirty-eight thousand, two hundred fifteen".

Divisors: 1 5 7 11 13 31 35 55 65 77 91 143 155 217 341 385 403 455 715 1001 1085 1705 2015 2387 2821 4433 5005 11935 14105 22165 31031 33053 155155 165265 231371 363583 429689 1024643 1156855 1817915 2148445 2545081 3007823 4726579 5123215 7172501 11271073 12725405 13320359 15039115 23632895 33086053 35862505 56355365 66601795 78897511 93242513 146523949 165430265 394487555 466212565 732619745 1025667643 5128338215