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13668883396 = 227411932
BaseRepresentation
bin11001011101011101…
…01001101111000100
31022021121102012222121
430232232221233010
5210443213232041
610140203335324
7662504410000
oct145656515704
938247365877
1013668883396
115884801453
122795821544
13139ab37aac
14939523700
155500297d1
hex32eba9bc4

13668883396 has 45 divisors (see below), whose sum is σ = 27929053901. Its totient is φ = 5853182496.

The previous prime is 13668883369. The next prime is 13668883411. The reversal of 13668883396 is 69338886631.

It is a happy number.

The square root of 13668883396 is 116914.

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

It can be written as a sum of positive squares in only one way, i.e., 7020764100 + 6648119296 = 83790^2 + 81536^2 .

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 11456976 + ... + 11458168.

Almost surely, 213668883396 is an apocalyptic number.

13668883396 is the 116914-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13668883396

13668883396 is an abundant number, since it is smaller than the sum of its proper divisors (14260170505).

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

13668883396 is an frugal number, since it uses more digits than its factorization.

13668883396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 1202 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 61.

The spelling of 13668883396 in words is "thirteen billion, six hundred sixty-eight million, eight hundred eighty-three thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1193 1372 2386 2401 4772 4802 8351 9604 16702 33404 58457 116914 233828 409199 818398 1423249 1636796 2846498 2864393 5692996 5728786 9962743 11457572 19925486 39850972 69739201 139478402 278956804 488174407 976348814 1952697628 3417220849 6834441698 13668883396