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55005110005 = 5113106191757
BaseRepresentation
bin110011001110100011…
…110101111011110101
312020222101211002210111
4303032203311323311
51400122302010010
641134034223021
73655035502126
oct631643657365
9166871732714
1055005110005
1121366a502aa
12a7b1124a71
13525799a491
14293b36204d
15166deaa58a
hexcce8f5ef5

55005110005 has 16 divisors (see below), whose sum is σ = 66653745264. Its totient is φ = 43573089280.

The previous prime is 55005109993. The next prime is 55005110051. The reversal of 55005110005 is 50001150055.

It can be written as a sum of positive squares in 8 ways, for example, as 72063121 + 54933046884 = 8489^2 + 234378^2 .

It is not a de Polignac number, because 55005110005 - 29 = 55005109493 is a prime.

It is a super-2 number, since 2×550051100052 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553587 + ... + 645343.

It is an arithmetic number, because the mean of its divisors is an integer number (4165859079).

Almost surely, 255005110005 is an apocalyptic number.

It is an amenable number.

55005110005 is a deficient number, since it is larger than the sum of its proper divisors (11648635259).

55005110005 is a wasteful number, since it uses less digits than its factorization.

55005110005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92936.

The product of its (nonzero) digits is 625, while the sum is 22.

The spelling of 55005110005 in words is "fifty-five billion, five million, one hundred ten thousand, five".

Divisors: 1 5 113 565 1061 5305 91757 119893 458785 599465 10368541 51842705 97354177 486770885 11001022001 55005110005