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55035548064 = 253379099793
BaseRepresentation
bin110011010000010111…
…111101000110100000
312021001112002111222000
4303100113331012200
51400203100014224
641141042444000
73655555303620
oct632027750640
9167045074860
1055035548064
112138214a922
12a7bb363600
135261096973
142941406880
1516719be0c9
hexcd05fd1a0

55035548064 has 96 divisors (see below), whose sum is σ = 183451847040. Its totient is φ = 15724440576.

The previous prime is 55035548059. The next prime is 55035548069. The reversal of 55035548064 is 46084553055.

55035548064 is a `hidden beast` number, since 5 + 503 + 5 + 5 + 4 + 80 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (55035548059) and next prime (55035548069).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (55035548069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4543849 + ... + 4555944.

It is an arithmetic number, because the mean of its divisors is an integer number (1910956740).

Almost surely, 255035548064 is an apocalyptic number.

55035548064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

55035548064 is an abundant number, since it is smaller than the sum of its proper divisors (128416298976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55035548064 is a wasteful number, since it uses less digits than its factorization.

55035548064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9099819 (or 9099805 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 55035548064 in words is "fifty-five billion, thirty-five million, five hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 9099793 18199586 27299379 36399172 54598758 63698551 72798344 81898137 109197516 127397102 145596688 163796274 191095653 218395032 245694411 254794204 291193376 327592548 382191306 436790064 491388822 509588408 573286959 655185096 764382612 873580128 982777644 1019176816 1146573918 1310370192 1528765224 1719860877 1965555288 2038353632 2293147836 2620740384 3057530448 3439721754 3931110576 4586295672 6115060896 6879443508 7862221152 9172591344 13758887016 18345182688 27517774032 55035548064