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54125123211 = 33291072232897
BaseRepresentation
bin110010011010000110…
…111101011010001011
312011201001222010212000
4302122012331122023
51341322012420321
640510441122043
73624161646015
oct623206753213
9164631863760
1054125123211
1120a55248195
12a5a6489323
135147590233
1428965351b5
15161bad3826
hexc9a1bd68b

54125123211 has 64 divisors (see below), whose sum is σ = 84130099200. Its totient is φ = 34346930688.

The previous prime is 54125123207. The next prime is 54125123263. The reversal of 54125123211 is 11232152145.

It is a happy number.

54125123211 is a `hidden beast` number, since 5 + 412 + 5 + 1 + 232 + 11 = 666.

It is not a de Polignac number, because 54125123211 - 22 = 54125123207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54125123291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18681715 + ... + 18684611.

It is an arithmetic number, because the mean of its divisors is an integer number (1314532800).

Almost surely, 254125123211 is an apocalyptic number.

54125123211 is a deficient number, since it is larger than the sum of its proper divisors (30004975989).

54125123211 is a wasteful number, since it uses less digits than its factorization.

54125123211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265 (or 3259 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

Adding to 54125123211 its reverse (11232152145), we get a palindrome (65357275356).

The spelling of 54125123211 in words is "fifty-four billion, one hundred twenty-five million, one hundred twenty-three thousand, two hundred eleven".

Divisors: 1 3 9 27 29 87 107 223 261 321 669 783 963 2007 2889 2897 3103 6021 6467 8691 9309 19401 23861 26073 27927 58203 71583 78219 83781 84013 174609 214749 252039 309979 644247 646031 691969 756117 929937 1938093 2075907 2268351 2789811 5814279 6227721 8369433 8989391 17442837 18683163 18734899 26968173 56204697 69125317 80904519 168614091 207375951 242713557 505842273 622127853 1866383559 2004634193 6013902579 18041707737 54125123211