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52130503341 = 347437332917
BaseRepresentation
bin110000100011001110…
…000101101010101101
311222120001201221210000
4300203032011222231
51323230402101331
635540505334513
73523561652520
oct604316055255
9158501657700
1052130503341
1120121345814
12a12a497439
134bba27a9a7
14274767abb7
1515519350e6
hexc23385aad

52130503341 has 80 divisors (see below), whose sum is σ = 91224056704. Its totient is φ = 29046439296.

The previous prime is 52130503333. The next prime is 52130503343. The reversal of 52130503341 is 14330503125.

52130503341 is a `hidden beast` number, since 5 + 21 + 305 + 0 + 334 + 1 = 666.

It is not a de Polignac number, because 52130503341 - 23 = 52130503333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52130503343) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 17869815 + ... + 17872731.

Almost surely, 252130503341 is an apocalyptic number.

It is an amenable number.

52130503341 is a deficient number, since it is larger than the sum of its proper divisors (39093553363).

52130503341 is a wasteful number, since it uses less digits than its factorization.

52130503341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 52130503341 in words is "fifty-two billion, one hundred thirty million, five hundred three thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 27 43 63 81 129 189 301 387 567 733 903 1161 2199 2709 2917 3483 5131 6597 8127 8751 15393 19791 20419 24381 26253 31519 46179 59373 61257 78759 94557 125431 138537 183771 220633 236277 283671 376293 415611 551313 661899 851013 878017 1128879 1653939 1985697 2138161 2553039 2634051 3386637 5957091 6414483 7902153 10159911 14967127 17871273 19243449 23706459 44901381 57730347 71119377 91940923 134704143 173191041 275822769 404112429 643586461 827468307 1212337287 1930759383 2482404921 5792278149 7447214763 17376834447 52130503341