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54625505841 = 34259692
BaseRepresentation
bin110010110111111011…
…110001001000110001
312012222221112012210000
4302313323301020301
51343333112141331
641032234100213
73642446065344
oct626773611061
9165887465700
1054625505841
1121191746055
12a705b7a669
1351c714a52a
142902b8a45b
15164a9c50e6
hexcb7ef1231

54625505841 has 15 divisors (see below), whose sum is σ = 81604206651. Its totient is φ = 36415601568.

The previous prime is 54625505807. The next prime is 54625505863. The reversal of 54625505841 is 14850552645.

The square root of 54625505841 is 233721.

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

54625505841 is a `hidden beast` number, since 5 + 4 + 6 + 2 + 550 + 58 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8897960241 + 45727545600 = 94329^2 + 213840^2 .

It is not a de Polignac number, because 54625505841 - 213 = 54625497649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54625505801) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2090505 + ... + 2116473.

Almost surely, 254625505841 is an apocalyptic number.

54625505841 is the 233721-st square number.

54625505841 is the 116861-st centered octagonal number.

It is an amenable number.

54625505841 is a deficient number, since it is larger than the sum of its proper divisors (26978700810).

54625505841 is an frugal number, since it uses more digits than its factorization.

54625505841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51950 (or 25972 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 54625505841 in words is "fifty-four billion, six hundred twenty-five million, five hundred five thousand, eight hundred forty-one".

Divisors: 1 3 9 27 81 25969 77907 233721 701163 2103489 674388961 2023166883 6069500649 18208501947 54625505841