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540540412412205 = 353714713889170249
BaseRepresentation
bin111101011100111100101111…
…1010001001100000100101101
32121212220011021201210121200010
41322321321133101030010231
51031322203231034142310
65153344500511323433
7221566520215650612
oct17271713721140455
92555804251717603
10540540412412205
111472619a0a46807
125076042a520579
131a27c98572785a
14976a41cddc509
154275a6b04b320
hex1eb9e5f44c12d

540540412412205 has 64 divisors (see below), whose sum is σ = 889076989440000. Its totient is φ = 280232239472640.

The previous prime is 540540412412201. The next prime is 540540412412249. The reversal of 540540412412205 is 502214214045045.

It is not a de Polignac number, because 540540412412205 - 22 = 540540412412201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540540412412201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3174913921 + ... + 3175084169.

It is an arithmetic number, because the mean of its divisors is an integer number (13891827960000).

Almost surely, 2540540412412205 is an apocalyptic number.

It is an amenable number.

540540412412205 is a deficient number, since it is larger than the sum of its proper divisors (348536577027795).

540540412412205 is a wasteful number, since it uses less digits than its factorization.

540540412412205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175654.

The product of its (nonzero) digits is 256000, while the sum is 39.

The spelling of 540540412412205 in words is "five hundred forty trillion, five hundred forty billion, four hundred twelve million, four hundred twelve thousand, two hundred five".

Divisors: 1 3 5 15 37 111 185 555 1471 3889 4413 7355 11667 19445 22065 54427 58335 143893 163281 170249 272135 431679 510747 719465 816405 851245 2158395 2553735 5720719 6299213 17162157 18897639 28603595 31496065 85810785 94488195 211666603 250436279 634999809 662098361 751308837 1058333015 1252181395 1986295083 3174999045 3310491805 3756544185 9266142323 9931475415 24497639357 27798426969 46330711615 73492918071 122488196785 138992134845 367464590355 973946689031 2921840067093 4869733445155 14609200335465 36036027494147 108108082482441 180180137470735 540540412412205