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51335081468037 = 3441211103370919
BaseRepresentation
bin10111010110000011000010…
…10010111010000010000101
320201202120211002110221110000
423223001201102322002011
523212033221323434122
6301103002202351513
713545560113565133
oct1353014122720205
9221676732427400
1051335081468037
11153a20a4205474
1259110baabb599
132284b53896713
14c968ba028753
155e05238590ac
hex2eb0614ba085

51335081468037 has 80 divisors (see below), whose sum is σ = 79005947771520. Its totient is φ = 33197793753600.

The previous prime is 51335081468023. The next prime is 51335081468039. The reversal of 51335081468037 is 73086418053315.

51335081468037 is a `hidden beast` number, since 5 + 1 + 33 + 508 + 14 + 68 + 0 + 37 = 666.

It is not a de Polignac number, because 51335081468037 - 28 = 51335081467781 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51335081468039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 723819664 + ... + 723890582.

It is an arithmetic number, because the mean of its divisors is an integer number (987574347144).

Almost surely, 251335081468037 is an apocalyptic number.

It is an amenable number.

51335081468037 is a deficient number, since it is larger than the sum of its proper divisors (27670866303483).

51335081468037 is a wasteful number, since it uses less digits than its factorization.

51335081468037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72216 (or 72207 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 51335081468037 in words is "fifty-one trillion, three hundred thirty-five billion, eighty-one million, four hundred sixty-eight thousand, thirty-seven".

Divisors: 1 3 9 27 41 81 123 211 369 633 1033 1107 1899 3099 3321 5697 8651 9297 17091 25953 27891 42353 70919 77859 83673 127059 212757 217963 233577 381177 638271 653889 700731 1143531 1914813 1961667 2907679 3430593 5744439 5885001 8723037 8936483 14963909 17655003 26169111 26809449 44891727 73259327 78507333 80428347 134675181 219777981 235521999 241285041 404025543 613520269 659333943 723855123 1212076629 1840560807 1978001829 3003632407 5521682421 5934005487 9010897221 15457717997 16565047263 27032691663 46373153991 49695141789 81098074989 139119461973 243294224967 417358385919 633766437877 1252075157757 1901299313631 5703897940893 17111693822679 51335081468037