Search a number
-
+
46505452365 = 32517618312007
BaseRepresentation
bin101011010011111100…
…001110001101001101
311110001001012202110200
4223103330032031031
51230220343433430
633210405124113
73234306552141
oct532374161515
9143031182420
1046505452365
11187a512a759
12901a6b9639
134501a92068
142372591221
151322bb3460
hexad3f0e34d

46505452365 has 96 divisors (see below), whose sum is σ = 87802880256. Its totient is φ = 22682695680.

The previous prime is 46505452361. The next prime is 46505452379. The reversal of 46505452365 is 56325450564.

46505452365 is a `hidden beast` number, since 4 + 65 + 0 + 5 + 4 + 523 + 65 = 666.

It is not a de Polignac number, because 46505452365 - 22 = 46505452361 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46505452365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46505452361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3867192 + ... + 3879198.

It is an arithmetic number, because the mean of its divisors is an integer number (914613336).

Almost surely, 246505452365 is an apocalyptic number.

46505452365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46505452365 is a deficient number, since it is larger than the sum of its proper divisors (41297427891).

46505452365 is a wasteful number, since it uses less digits than its factorization.

46505452365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12179 (or 12176 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 46505452365 in words is "forty-six billion, five hundred five million, four hundred fifty-two thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 61 83 85 153 183 249 255 305 415 549 747 765 915 1037 1245 1411 2745 3111 3735 4233 5063 5185 7055 9333 12007 12699 15189 15555 21165 25315 36021 45567 46665 60035 63495 75945 86071 108063 180105 204119 227835 258213 430355 540315 612357 732427 774639 996581 1020595 1291065 1837071 2197281 2989743 3061785 3662135 3873195 4982905 6591843 8969229 9185355 10986405 12451259 14948715 16941877 32959215 37353777 44846145 50825631 60791441 62256295 84709385 112061331 152476893 182374323 186768885 254128155 303957205 547122969 560306655 762384465 911871615 1033454497 2735614845 3100363491 5167272485 9301090473 15501817455 46505452365