Search a number
-
+
5465160615645 = 3351011816773271
BaseRepresentation
bin100111110000111010011…
…1101010000011011011101
3201100110112102212201222000
41033201310331100123131
51204020122104200040
615342354330512513
71102562526520413
oct117416475203335
921313472781860
105465160615645
111817841766925
12743227295739
133084933660c3
1414c72d94d2b3
159726494e130
hex4f874f506dd

5465160615645 has 128 divisors (see below), whose sum is σ = 9883841909760. Its totient is φ = 2864833920000.

The previous prime is 5465160615641. The next prime is 5465160615659.

5465160615645 is a `hidden beast` number, since 5 + 4 + 6 + 5 + 16 + 0 + 61 + 564 + 5 = 666.

5465160615645 is nontrivially palindromic in base 10.

5465160615645 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5465160615645 - 22 = 5465160615641 is a prime.

It is a super-3 number, since 3×54651606156453 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5465160615591 and 5465160615600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5465160615641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1670790360 + ... + 1670793630.

It is an arithmetic number, because the mean of its divisors is an integer number (77217514920).

Almost surely, 25465160615645 is an apocalyptic number.

It is an amenable number.

5465160615645 is a deficient number, since it is larger than the sum of its proper divisors (4418681294115).

5465160615645 is a wasteful number, since it uses less digits than its factorization.

5465160615645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 5465160615645 in words is "five trillion, four hundred sixty-five billion, one hundred sixty million, six hundred fifteen thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 27 45 101 135 181 303 505 543 677 905 909 1515 1629 2031 2715 2727 3271 3385 4545 4887 6093 8145 9813 10155 13635 16355 18279 18281 24435 29439 30465 49065 54843 68377 88317 91395 91405 122537 147195 164529 205131 274215 330371 341885 367611 441585 493587 592051 612685 615393 822645 991113 1025655 1102833 1651855 1776153 1838055 1846179 2214467 2467935 2960255 2973339 3076965 3308499 4955565 5328459 5514165 6643401 8880765 8920017 9230895 11072335 12376237 14866695 15985377 16542495 19930203 26642295 33217005 37128711 44600085 59790609 59797151 61881185 79926885 99651015 111386133 179391453 185643555 223661167 298953045 298985755 334158399 400818527 538174359 556930665 670983501 896957265 1118305835 1202455581 1614523077 1670791995 2004092635 2012950503 2690871795 3354917505 3607366743 6012277905 6038851509 8072615385 10064752515 10822100229 18036833715 30194257545 40482671227 54110501145 121448013681 202413356135 364344041043 607240068405 1093032123129 1821720205215 5465160615645