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12083559813 = 3213673314657
BaseRepresentation
bin10110100000011110…
…00111110110000101
31011012010100102212100
423100033013312011
5144221342403223
65315012342313
7605304364233
oct132017076605
934163312770
1012083559813
115140944376
122412914999
1311a75702c0
14828b6d953
154aac79043
hex2d03c7d85

12083559813 has 48 divisors (see below), whose sum is σ = 19138939456. Its totient is φ = 7301352960.

The previous prime is 12083559809. The next prime is 12083559857. The reversal of 12083559813 is 31895538021.

12083559813 is a `hidden beast` number, since 1 + 2 + 0 + 83 + 559 + 8 + 13 = 666.

12083559813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12083559813 - 22 = 12083559809 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12083559413) 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 47 ways as a sum of consecutive naturals, for example, 2592381 + ... + 2597037.

Almost surely, 212083559813 is an apocalyptic number.

12083559813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12083559813 is a deficient number, since it is larger than the sum of its proper divisors (7055379643).

12083559813 is a wasteful number, since it uses less digits than its factorization.

12083559813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12083559813 in words is "twelve billion, eighty-three million, five hundred fifty-nine thousand, eight hundred thirteen".

Divisors: 1 3 9 13 39 67 117 201 331 603 871 993 2613 2979 4303 4657 7839 12909 13971 22177 38727 41913 60541 66531 181623 199593 288301 312019 544869 864903 936057 1541467 2594709 2808171 4056247 4624401 12168741 13873203 20039071 36506223 60117213 103278289 180351639 309834867 929504601 1342617757 4027853271 12083559813