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12694375392 = 253413225197
BaseRepresentation
bin10111101001010010…
…01100101111100000
31012202200201002022120
423310221030233200
5201444230003032
65455352304240
7626402260536
oct136451145740
935680632276
1012694375392
11542470a136
1225633a2080
131273c84a3a
14885d30156
154e46d162c
hex2f4a4cbe0

12694375392 has 48 divisors (see below), whose sum is σ = 34135495632. Its totient is φ = 4128250880.

The previous prime is 12694375387. The next prime is 12694375403. The reversal of 12694375392 is 29357349621.

12694375392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×126943753922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1608663 + ... + 1616534.

It is an arithmetic number, because the mean of its divisors is an integer number (711156159).

Almost surely, 212694375392 is an apocalyptic number.

12694375392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12694375392 is an abundant number, since it is smaller than the sum of its proper divisors (21441120240).

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

12694375392 is a wasteful number, since it uses less digits than its factorization.

12694375392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225251 (or 3225243 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 51.

The spelling of 12694375392 in words is "twelve billion, six hundred ninety-four million, three hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 3225197 6450394 9675591 12900788 19351182 25801576 38702364 51603152 77404728 103206304 132233077 154809456 264466154 309618912 396699231 528932308 793398462 1057864616 1586796924 2115729232 3173593848 4231458464 6347187696 12694375392