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57200234119735 = 5797439214317909
BaseRepresentation
bin11010000000101111101111…
…01000101100001000110111
321111112021210122221102220211
431000113313220230020313
524444132034413312420
6321353231431010251
715022403060550220
oct1500276750541067
9244467718842824
1057200234119735
1117253534a54213
1264b9956809987
1325bbc60a0cc55
14101a712a66247
15692d9912be5a
hex3405f7a2c237

57200234119735 has 64 divisors (see below), whose sum is σ = 79476797030400. Its totient is φ = 38709996982272.

The previous prime is 57200234119733. The next prime is 57200234119753. The reversal of 57200234119735 is 53791143200275.

57200234119735 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 57200234119735 - 21 = 57200234119733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57200234119733) 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 63 ways as a sum of consecutive naturals, for example, 3193928961 + ... + 3193946869.

It is an arithmetic number, because the mean of its divisors is an integer number (1241824953600).

Almost surely, 257200234119735 is an apocalyptic number.

57200234119735 is a deficient number, since it is larger than the sum of its proper divisors (22276562910665).

57200234119735 is a wasteful number, since it uses less digits than its factorization.

57200234119735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20600.

The product of its (nonzero) digits is 1587600, while the sum is 49.

The spelling of 57200234119735 in words is "fifty-seven trillion, two hundred billion, two hundred thirty-four million, one hundred nineteen thousand, seven hundred thirty-five".

Divisors: 1 5 7 35 97 439 485 679 2143 2195 3073 3395 10715 15001 15365 17909 42583 75005 89545 125363 207871 212915 298081 626815 940777 1039355 1455097 1490405 1737173 4703885 6585439 7275485 7862051 8685865 12160211 32927195 38378987 39310255 55034357 60801055 91255369 191894935 268652909 275171785 456276845 638787583 762618947 1343264545 3193937915 3722761739 3813094735 5338332629 16848375293 18613808695 26059332173 26691663145 84241876465 117938627051 130296660865 589693135255 1634292403421 8171462017105 11440046823947 57200234119735