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13578308676 = 2232194212
BaseRepresentation
bin11001010010101010…
…01000110001000100
31022001021222112211100
430221111020301010
5210302021334201
610123210140100
7660324501522
oct145125106104
938037875740
1013578308676
115838668309
12276b421630
13138514439a
1492b4a7312
155470d7886
hex329548c44

13578308676 has 27 divisors (see below), whose sum is σ = 34324714333. Its totient is φ = 4525869840.

The previous prime is 13578308647. The next prime is 13578308707. The reversal of 13578308676 is 67680387531.

The square root of 13578308676 is 116526.

It is a perfect power (a square), and thus also a powerful number.

13578308676 is a `hidden beast` number, since 1 + 3 + 578 + 3 + 0 + 8 + 67 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13300086276 + 278222400 = 115326^2 + 16680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 689446 + ... + 708866.

Almost surely, 213578308676 is an apocalyptic number.

13578308676 is the 116526-th square number.

It is an amenable number.

13578308676 is an abundant number, since it is smaller than the sum of its proper divisors (20746405657).

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

13578308676 is an frugal number, since it uses more digits than its factorization.

13578308676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38852 (or 19426 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 13578308676 in words is "thirteen billion, five hundred seventy-eight million, three hundred eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 19421 38842 58263 77684 116526 174789 233052 349578 699156 377175241 754350482 1131525723 1508700964 2263051446 3394577169 4526102892 6789154338 13578308676