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55105142463 = 3274332516257
BaseRepresentation
bin110011010100100001…
…011011111010111111
312021020101001021112100
4303110201123322333
51400323404024323
641152010240143
73660361661010
oct632441337277
9167211037470
1055105142463
1121408464158
12a81a726053
135272622997
14294a761007
151677b69943
hexcd485bebf

55105142463 has 48 divisors (see below), whose sum is σ = 93126249216. Its totient is φ = 30741984000.

The previous prime is 55105142441. The next prime is 55105142497. The reversal of 55105142463 is 36424150155.

55105142463 is a `hidden beast` number, since 5 + 51 + 0 + 5 + 142 + 463 = 666.

It is not a de Polignac number, because 55105142463 - 25 = 55105142431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55105142063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8803831 + ... + 8810087.

It is an arithmetic number, because the mean of its divisors is an integer number (1940130192).

Almost surely, 255105142463 is an apocalyptic number.

55105142463 is a deficient number, since it is larger than the sum of its proper divisors (38021106753).

55105142463 is a wasteful number, since it uses less digits than its factorization.

55105142463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9564 (or 9561 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 55105142463 in words is "fifty-five billion, one hundred five million, one hundred forty-two thousand, four hundred sixty-three".

Divisors: 1 3 7 9 21 43 63 129 301 387 903 2709 3251 6257 9753 18771 22757 29259 43799 56313 68271 131397 139793 204813 269051 394191 419379 807153 978551 1258137 1883357 2421459 2935653 5650071 8806959 16950213 20341507 61024521 142390549 183073563 427171647 874684801 1281514941 2624054403 6122793607 7872163209 18368380821 55105142463