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13194105640 = 2352911374229
BaseRepresentation
bin11000100100110111…
…00001001100101000
31021001112001000100021
430102123201030220
5204010142340030
610021123250224
7644651022202
oct142233411450
937045030307
1013194105640
115660801941
122682819974
131323674101
148d2455772
155234e497a
hex3126e1328

13194105640 has 32 divisors (see below), whose sum is σ = 30710421000. Its totient is φ = 5095654144.

The previous prime is 13194105623. The next prime is 13194105689. The reversal of 13194105640 is 4650149131.

It can be written as a sum of positive squares in 4 ways, for example, as 12630612996 + 563492644 = 112386^2 + 23738^2 .

It is a super-3 number, since 3×131941056403 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13194105596 and 13194105605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5685955 + ... + 5688274.

Almost surely, 213194105640 is an apocalyptic number.

13194105640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13194105640 is an abundant number, since it is smaller than the sum of its proper divisors (17516315360).

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

13194105640 is a wasteful number, since it uses less digits than its factorization.

13194105640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11374269 (or 11374265 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 13194105640 in words is "thirteen billion, one hundred ninety-four million, one hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 11374229 22748458 45496916 56871145 90993832 113742290 227484580 329852641 454969160 659705282 1319410564 1649263205 2638821128 3298526410 6597052820 13194105640