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54420958089 = 32777612
BaseRepresentation
bin110010101011101111…
…011110101110001001
312012110200122010000100
4302223233132232021
51342423231124324
641000050000013
73634413340251
oct625357365611
9165420563010
1054420958089
1121097237323
12a669576009
135193960264
1428c3942961
151637a6d4c9
hexcabbdeb89

54420958089 has 9 divisors (see below), whose sum is σ = 78609061479. Its totient is φ = 36280172160.

The previous prime is 54420958063. The next prime is 54420958117. The reversal of 54420958089 is 98085902445.

It is a happy number.

The square root of 54420958089 is 233283.

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

54420958089 is a `hidden beast` number, since 54 + 4 + 2 + 0 + 9 + 580 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15359388489 + 39061569600 = 123933^2 + 197640^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-54420958089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54420957089) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 660969 + ... + 738729.

Almost surely, 254420958089 is an apocalyptic number.

54420958089 is the 233283-rd square number.

54420958089 is the 116642-nd centered octagonal number.

It is an amenable number.

54420958089 is a deficient number, since it is larger than the sum of its proper divisors (24188103390).

54420958089 is an frugal number, since it uses more digits than its factorization.

54420958089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155528 (or 77764 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 54420958089 in words is "fifty-four billion, four hundred twenty million, nine hundred fifty-eight thousand, eighty-nine".

Divisors: 1 3 9 77761 233283 699849 6046773121 18140319363 54420958089