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51906356253 = 3419613071801
BaseRepresentation
bin110000010101110111…
…000010010000011101
311221222102222002210000
4300111313002100131
51322301011400003
635502341204513
73515200514463
oct602567022035
9157872862700
1051906356253
112001686a794
12a087400739
134b829ba78b
1427259b0833
15153be0b1a3
hexc15dc241d

51906356253 has 80 divisors (see below), whose sum is σ = 83274600640. Its totient is φ = 32122656000.

The previous prime is 51906356251. The next prime is 51906356261. The reversal of 51906356253 is 35265360915.

51906356253 is a `hidden beast` number, since 5 + 1 + 9 + 0 + 635 + 6 + 2 + 5 + 3 = 666.

It is not a de Polignac number, because 51906356253 - 21 = 51906356251 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51906356199 and 51906356208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51906356251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28819953 + ... + 28821753.

It is an arithmetic number, because the mean of its divisors is an integer number (1040932508).

Almost surely, 251906356253 is an apocalyptic number.

It is an amenable number.

51906356253 is a deficient number, since it is larger than the sum of its proper divisors (31368244387).

51906356253 is a wasteful number, since it uses less digits than its factorization.

51906356253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 51906356253 in words is "fifty-one billion, nine hundred six million, three hundred fifty-six thousand, two hundred fifty-three".

Divisors: 1 3 9 19 27 57 61 81 171 183 307 513 549 921 1159 1539 1647 1801 2763 3477 4941 5403 5833 8289 10431 16209 17499 18727 24867 31293 34219 48627 52497 56181 93879 102657 109861 145881 157491 168543 307971 329583 355813 472473 505629 552907 923913 988749 1067439 1516887 1658721 2087359 2771739 2966247 3202317 4976163 6262077 8898741 9606951 10505233 14928489 18786231 28820853 31515699 33727327 44785467 56358693 94547097 101181981 169076079 283641291 303545943 640819213 850923873 910637829 1922457639 2731913487 5767372917 17302118751 51906356253