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54859476841 = 1324324192
BaseRepresentation
bin110011000101111000…
…010010111101101001
312020121020210011122121
4303011320102331221
51344323011224331
641111352551241
73651316600501
oct630570227551
9166536704577
1054859476841
11212a1820a14
12a7703b2521
13523376a100
142925c92a01
1516612dec11
hexcc5e12f69

54859476841 has 27 divisors (see below), whose sum is σ = 60963162039. Its totient is φ = 49343806512.

The previous prime is 54859476829. The next prime is 54859476863. The reversal of 54859476841 is 14867495845.

The square root of 54859476841 is 234221.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8115307225 + 46744169616 = 90085^2 + 216204^2 .

It is not a de Polignac number, because 54859476841 - 25 = 54859476809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54859476841.

It is not an unprimeable number, because it can be changed into a prime (54859476811) 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 26 ways as a sum of consecutive naturals, for example, 130929330 + ... + 130929748.

Almost surely, 254859476841 is an apocalyptic number.

54859476841 is the 234221-st square number.

54859476841 is the 117111-st centered octagonal number.

It is an amenable number.

54859476841 is a deficient number, since it is larger than the sum of its proper divisors (6103685198).

54859476841 is an frugal number, since it uses more digits than its factorization.

54859476841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 475 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 61.

The spelling of 54859476841 in words is "fifty-four billion, eight hundred fifty-nine million, four hundred seventy-six thousand, eight hundred forty-one".

Divisors: 1 13 43 169 419 559 1849 5447 7267 18017 24037 70811 175561 234221 312481 774731 2282293 3044873 7549123 10071503 29669809 98138599 130929539 324612289 1275801787 4219959757 54859476841