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12346574085 = 325389705317
BaseRepresentation
bin10110111111110100…
…11100010100000101
31011212110020221121200
423133322130110011
5200241210332320
65401045533113
7614650101546
oct133772342405
934773227550
1012346574085
11526635693a
122486a14199
131219bbb551
14851a764cd
154c3dce290
hex2dfe9c505

12346574085 has 24 divisors (see below), whose sum is σ = 21455773560. Its totient is φ = 6567902592.

The previous prime is 12346574083. The next prime is 12346574099. The reversal of 12346574085 is 58047564321.

12346574085 is a `hidden beast` number, since 1 + 234 + 6 + 5 + 7 + 408 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12916836 + 12333657249 = 3594^2 + 111057^2 .

It is not a de Polignac number, because 12346574085 - 21 = 12346574083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12346574085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12346574081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335154 + ... + 370163.

It is an arithmetic number, because the mean of its divisors is an integer number (893990565).

Almost surely, 212346574085 is an apocalyptic number.

12346574085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12346574085 is a deficient number, since it is larger than the sum of its proper divisors (9109199475).

12346574085 is a wasteful number, since it uses less digits than its factorization.

12346574085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705717 (or 705714 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 12346574085 in words is "twelve billion, three hundred forty-six million, five hundred seventy-four thousand, eighty-five".

Divisors: 1 3 5 9 15 45 389 1167 1945 3501 5835 17505 705317 2115951 3526585 6347853 10579755 31739265 274368313 823104939 1371841565 2469314817 4115524695 12346574085