Search a number
-
+
51005006500019 = 11213142924379311
BaseRepresentation
bin10111001100011100001110…
…10010110101000010110011
320200121000211121012020112112
423212032013102311002303
523141131223131000034
6300251213154315535
713512663415626125
oct1346160722650263
9220530747166475
1051005006500019
1115285113520600
125879141588bab
13225c99ccb4b60
14c84926925215
155d6b55bb37ce
hex2e63874b50b3

51005006500019 has 48 divisors (see below), whose sum is σ = 60449454024960. Its totient is φ = 42749309433600.

The previous prime is 51005006499929. The next prime is 51005006500037. The reversal of 51005006500019 is 91000560050015.

51005006500019 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51005006500019 - 28 = 51005006499763 is a prime.

It is a super-2 number, since 2×510050065000192 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51005006500039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5477925374 + ... + 5477934684.

It is an arithmetic number, because the mean of its divisors is an integer number (1259363625520).

Almost surely, 251005006500019 is an apocalyptic number.

51005006500019 is a deficient number, since it is larger than the sum of its proper divisors (9444447524941).

51005006500019 is a wasteful number, since it uses less digits than its factorization.

51005006500019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13212 (or 13201 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 32.

The spelling of 51005006500019 in words is "fifty-one trillion, five billion, six million, five hundred thousand, nineteen".

Divisors: 1 11 13 121 143 1429 1573 2437 9311 15719 18577 26807 31681 102421 121043 172909 204347 294877 348491 1126631 1331473 2247817 3482473 3833401 13305419 14646203 22690907 38307203 45272149 146359609 172970447 249599977 294981791 421379233 497993639 1609955699 1902674917 2745599747 3244799701 5477930029 20929424087 32425306103 35692796711 356678367133 421528979339 3923462038463 4636818772729 51005006500019