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12346072537 = 171901338197
BaseRepresentation
bin10110111111110001…
…00001110111011001
31011212102022110121211
423133320201313121
5200241043310122
65401031103121
7614642612401
oct133770416731
934772273554
1012346072537
115266044037
122486811aa1
131219a74186
14851985801
154c3d30877
hex2dfe21dd9

12346072537 has 8 divisors (see below), whose sum is σ = 13073341896. Its totient is φ = 11618917632.

The previous prime is 12346072523. The next prime is 12346072577. The reversal of 12346072537 is 73527064321.

It can be written as a sum of positive squares in 4 ways, for example, as 65221776 + 12280850761 = 8076^2 + 110819^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12346072537 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12346072537.

It is not an unprimeable number, because it can be changed into a prime (12346072577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304123 + ... + 342319.

It is an arithmetic number, because the mean of its divisors is an integer number (1634167737).

Almost surely, 212346072537 is an apocalyptic number.

12346072537 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12346072537 is a deficient number, since it is larger than the sum of its proper divisors (727269359).

12346072537 is a wasteful number, since it uses less digits than its factorization.

12346072537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57227.

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 12346072537 in words is "twelve billion, three hundred forty-six million, seventy-two thousand, five hundred thirty-seven".

Divisors: 1 17 19013 38197 323221 649349 726239561 12346072537