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16460735267041 = 13191201238923227
BaseRepresentation
bin1110111110001001000001…
…0001110100000011100001
32011021122000221110102020021
43233202100101310003201
54124143041212021131
655001542443513441
73316151236122052
oct357422021640341
964248027412207
1016460735267041
115276a5aa2293a
121a1a24ab28881
139253189c0390
1440c9bd48c729
151d82ac863e11
hexef8904740e1

16460735267041 has 32 divisors (see below), whose sum is σ = 18684101475200. Its totient is φ = 14376187929600.

The previous prime is 16460735267027. The next prime is 16460735267107. The reversal of 16460735267041 is 14076253706461.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-16460735267041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16460735267041.

It is not an unprimeable number, because it can be changed into a prime (16460735267741) 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 31 ways as a sum of consecutive naturals, for example, 708678070 + ... + 708701296.

It is an arithmetic number, because the mean of its divisors is an integer number (583878171100).

Almost surely, 216460735267041 is an apocalyptic number.

It is an amenable number.

16460735267041 is a deficient number, since it is larger than the sum of its proper divisors (2223366208159).

16460735267041 is a wasteful number, since it uses less digits than its factorization.

16460735267041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26849.

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 16460735267041 in words is "sixteen trillion, four hundred sixty billion, seven hundred thirty-five million, two hundred sixty-seven thousand, forty-one".

Divisors: 1 13 19 247 1201 2389 15613 22819 23227 31057 45391 296647 301951 441313 590083 2869189 5737069 27895627 37299457 54514591 55489303 362643151 530016913 708689683 721360939 1054296757 6890219869 13705857841 66642652903 866354487739 1266210405157 16460735267041