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54164621205 = 32553169913367
BaseRepresentation
bin110010011100011101…
…101000011110010101
312011210211021211220200
4302130131220132111
51341412120334310
640514411451113
73625151453352
oct623435503625
9164724254820
1054164621205
1120a75575662
12a5b7756a99
13515280c426
14289b897629
1516202d69c0
hexc9c768795

54164621205 has 48 divisors (see below), whose sum is σ = 95720227200. Its totient is φ = 28323944064.

The previous prime is 54164621177. The next prime is 54164621207. The reversal of 54164621205 is 50212646145.

54164621205 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 4 + 621 + 20 + 5 = 666.

It is not a de Polignac number, because 54164621205 - 29 = 54164620693 is a prime.

It is a super-2 number, since 2×541646212052 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54164621205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54164621207) 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 47 ways as a sum of consecutive naturals, for example, 4045432 + ... + 4058798.

It is an arithmetic number, because the mean of its divisors is an integer number (1994171400).

Almost surely, 254164621205 is an apocalyptic number.

It is an amenable number.

54164621205 is a deficient number, since it is larger than the sum of its proper divisors (41555605995).

54164621205 is a wasteful number, since it uses less digits than its factorization.

54164621205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15130 (or 15127 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 54164621205 in words is "fifty-four billion, one hundred sixty-four million, six hundred twenty-one thousand, two hundred five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 1699 2385 5097 8495 13367 15291 25485 40101 66835 76455 90047 120303 200505 270141 450235 601515 708451 810423 1350705 2125353 3542255 4052115 6376059 10626765 22710533 31880295 68131599 113552665 204394797 340657995 1021973985 1203658249 3610974747 6018291245 10832924241 18054873735 54164621205