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15013541614041 = 32197313722133967
BaseRepresentation
bin1101101001111001110011…
…0100001001000111011001
31222011021120112021122111100
43122132130310021013121
53431440213123122131
651533043101222013
73106456362050655
oct332363464110731
958137515248440
1015013541614041
114869230925643
121825884861909
1384ba03886959
1439c933149a65
151b080b3ee7e6
hexda79cd091d9

15013541614041 has 96 divisors (see below), whose sum is σ = 23325632778240. Its totient is φ = 9277543360512.

The previous prime is 15013541613997. The next prime is 15013541614061. The reversal of 15013541614041 is 14041614531051.

15013541614041 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 35 + 4 + 1 + 614 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 15013541614041 - 26 = 15013541613977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 15013541613987 and 15013541614005.

It is not an unprimeable number, because it can be changed into a prime (15013541614061) 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 95 ways as a sum of consecutive naturals, for example, 3784606440 + ... + 3784610406.

It is an arithmetic number, because the mean of its divisors is an integer number (242975341440).

Almost surely, 215013541614041 is an apocalyptic number.

It is an amenable number.

15013541614041 is a deficient number, since it is larger than the sum of its proper divisors (8312091164199).

15013541614041 is a wasteful number, since it uses less digits than its factorization.

15013541614041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 15013541614041 in words is "fifteen trillion, thirteen billion, five hundred forty-one million, six hundred fourteen thousand, forty-one".

Divisors: 1 3 9 19 57 73 137 171 219 411 657 1233 1387 2213 2603 3967 4161 6639 7809 10001 11901 12483 19917 23427 30003 35703 42047 75373 90009 126141 161549 190019 226119 289591 303181 378423 484647 543479 570057 678357 868773 909543 1453941 1630437 1710171 2606319 2728629 3069431 4891311 5502229 5760439 8778971 9208293 10326101 16506687 17281317 22132213 26336913 27624879 30978303 39673967 49520061 51843951 66396639 79010739 92934909 119021901 166800449 199189917 357065703 420512047 500401347 640864883 753805373 1202719027 1261536141 1501204041 1922594649 2261416119 3608157081 3784608423 5767783947 6784248357 10824471243 12176432777 22851661513 36529298331 68554984539 87798488971 109587894993 205664953617 263395466913 790186400739 1668171290449 5004513871347 15013541614041