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51348400820533 = 1924128132213833
BaseRepresentation
bin10111010110011011110110…
…01100001101000100110101
320201210212012100012011011201
423223031323030031010311
523212243011102224113
6301113044002332501
713546541145323455
oct1353157314150465
9221725170164151
1051348400820533
11153a7809682103
1259137b765a131
13228619718099b
14c973c0d63d65
155e0a52d3dcdd
hex2eb37b30d135

51348400820533 has 48 divisors (see below), whose sum is σ = 55744370951472. Its totient is φ = 47263458816000.

The previous prime is 51348400820503. The next prime is 51348400820557. The reversal of 51348400820533 is 33502800484315.

It can be written as a sum of positive squares in 8 ways, for example, as 2012147924004 + 49336252896529 = 1418502^2 + 7023977^2 .

It is not a de Polignac number, because 51348400820533 - 29 = 51348400820021 is a prime.

It is a super-2 number, since 2×513484008205332 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51348400820503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13396397985 + ... + 13396401817.

It is an arithmetic number, because the mean of its divisors is an integer number (1161341061489).

Almost surely, 251348400820533 is an apocalyptic number.

It is an amenable number.

51348400820533 is a deficient number, since it is larger than the sum of its proper divisors (4395970130939).

51348400820533 is a wasteful number, since it uses less digits than its factorization.

51348400820533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 7395 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 51348400820533 in words is "fifty-one trillion, three hundred forty-eight billion, four hundred million, eight hundred twenty thousand, five hundred thirty-three".

Divisors: 1 19 41 281 361 779 3221 3833 5339 11521 14801 61199 72827 101441 132061 157153 218899 905101 1077073 1162781 1383713 2509159 2985907 4159081 12346093 17196919 20464387 37109141 44159993 47674021 56732233 234575767 326741461 388823353 506189813 705073679 839039867 3469252133 4456939573 9617606447 13396399901 15941757473 65915790527 142239337453 182734522493 1252400020013 2702547411607 51348400820533