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12691735380 = 22325160144041
BaseRepresentation
bin10111101000111110…
…01000001101010100
31012202111201221220100
423310133020031110
5201443041013010
65455215534100
7626340653652
oct136437101524
935674657810
1012691735380
115423176705
12256252a330
13127356c1bc
14885843dd2
154e435e2c0
hex2f47c8354

12691735380 has 72 divisors (see below), whose sum is σ = 38523185064. Its totient is φ = 3382272000.

The previous prime is 12691735321. The next prime is 12691735393. The reversal of 12691735380 is 8353719621.

12691735380 is a `hidden beast` number, since 1 + 26 + 91 + 7 + 3 + 538 + 0 = 666.

12691735380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5476592016 + 7215143364 = 74004^2 + 84942^2 .

It is a super-2 number, since 2×126917353802 (a number of 21 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 266160 + ... + 310200.

It is an arithmetic number, because the mean of its divisors is an integer number (535044237).

Almost surely, 212691735380 is an apocalyptic number.

12691735380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12691735380 is an abundant number, since it is smaller than the sum of its proper divisors (25831449684).

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

12691735380 is a wasteful number, since it uses less digits than its factorization.

12691735380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45657 (or 45652 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12691735380 in words is "twelve billion, six hundred ninety-one million, seven hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1601 3202 4803 6404 8005 9606 14409 16010 19212 24015 28818 32020 44041 48030 57636 72045 88082 96060 132123 144090 176164 220205 264246 288180 396369 440410 528492 660615 792738 880820 1321230 1585476 1981845 2642460 3963690 7927380 70509641 141019282 211528923 282038564 352548205 423057846 634586769 705096410 846115692 1057644615 1269173538 1410192820 2115289230 2538347076 3172933845 4230578460 6345867690 12691735380