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48366141876801 = 3273174796617649
BaseRepresentation
bin10101111111101000111101…
…01101001010101001000001
320100020202110120211220201200
422333310132231022221001
522314412324310024201
6250511033203251413
713121224040466450
oct1277643655125101
9210222416756650
1048366141876801
1114457a69206601
125511823079b69
1320caba5029b18
14bd2d10330b97
1558d1aada4386
hex2bfd1eb4aa41

48366141876801 has 96 divisors (see below), whose sum is σ = 80393534208000. Its totient is φ = 27447910871040.

The previous prime is 48366141876797. The next prime is 48366141876847. The reversal of 48366141876801 is 10867814166384.

48366141876801 is a `hidden beast` number, since 4 + 8 + 3 + 6 + 614 + 1 + 8 + 7 + 6 + 8 + 0 + 1 = 666.

It is not a de Polignac number, because 48366141876801 - 22 = 48366141876797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (48366141876851) 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, 6323194225 + ... + 6323201873.

It is an arithmetic number, because the mean of its divisors is an integer number (837432648000).

Almost surely, 248366141876801 is an apocalyptic number.

It is an amenable number.

48366141876801 is a deficient number, since it is larger than the sum of its proper divisors (32027392331199).

48366141876801 is a wasteful number, since it uses less digits than its factorization.

48366141876801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 48366141876801 in words is "forty-eight trillion, three hundred sixty-six billion, one hundred forty-one million, eight hundred seventy-six thousand, eight hundred one".

Divisors: 1 3 7 9 21 63 317 479 661 951 1437 1983 2219 2853 3353 4311 4627 5949 6657 7649 10059 13881 19971 22947 30177 41643 53543 68841 151843 160629 209537 316619 455529 481887 628611 949857 1062901 1366587 1466759 1885833 2216333 2424733 2849571 3188703 3663871 4400277 5055989 6648999 7274199 9566109 10991613 13200831 15167967 16973131 19946997 21822597 25647097 32974839 35391923 45503901 50919393 76941291 100368223 106175769 152758179 230823873 301104669 318527307 702577561 903314007 1161447107 1602748513 2107732683 2421818731 3484341321 4808245539 6323198049 7265456193 8130129749 10453023963 11219239591 14424736617 16952731117 21796368579 24390389247 33657718773 50858193351 73171167741 100973156319 152574580053 767716537727 2303149613181 5374015764089 6909448839543 16122047292267 48366141876801