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5122564613145 = 3257171316372673
BaseRepresentation
bin100101010001011000010…
…1001001110010000011001
3200010201020100001120202200
41022202300221032100121
51132412003020110040
614521135041320413
71036043632532610
oct112426051162031
920121210046680
105122564613145
1116a55161a7481
126a8954636109
132b20956b16b5
14139d0d55c877
158d3b2917630
hex4a8b0a4e419

5122564613145 has 96 divisors (see below), whose sum is σ = 10745435780352. Its totient is φ = 2203796422656.

The previous prime is 5122564613141. The next prime is 5122564613167. The reversal of 5122564613145 is 5413164652215.

5122564613145 is a `hidden beast` number, since 5 + 1 + 2 + 25 + 6 + 4 + 613 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 5122564613145 - 22 = 5122564613141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5122564613145.

It is not an unprimeable number, because it can be changed into a prime (5122564613141) 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 95 ways as a sum of consecutive naturals, for example, 70451529 + ... + 70524201.

It is an arithmetic number, because the mean of its divisors is an integer number (111931622712).

Almost surely, 25122564613145 is an apocalyptic number.

It is an amenable number.

5122564613145 is an abundant number, since it is smaller than the sum of its proper divisors (5622871167207).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5122564613145 is a wasteful number, since it uses less digits than its factorization.

5122564613145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85871 (or 85868 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 5122564613145 in words is "five trillion, one hundred twenty-two billion, five hundred sixty-four million, six hundred thirteen thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 13163 39489 65815 72673 92141 118467 197445 218019 223771 276423 363365 460705 508711 592335 654057 671313 829269 1090095 1118855 1235441 1382115 1526133 1566397 2013939 2543555 3270285 3356565 3706323 4146345 4578399 4699191 6177205 7630665 7831985 8648087 10069695 11118969 14097573 18531615 22891995 23495955 25944261 43240435 55594845 70487865 77832783 129721305 389163915 956594699 2869784097 4782973495 6696162893 8609352291 14348920485 16262109883 20088488679 33480814465 43046761455 48786329649 60265466037 81310549415 100442443395 113834769181 146358988947 243931648245 301327330185 341504307543 569173845905 731794944735 1024512922629 1707521537715 5122564613145