Search a number
-
+
13426846132100 = 2252373628877333
BaseRepresentation
bin1100001101100010111001…
…1001001110011110000100
31202112121000222210201020012
43003120232121032132010
53224441140102211400
644320112530325352
72554025523016202
oct303305631163604
952477028721205
1013426846132100
114307325671525
12160a267729858
137651b9152a0b
14345c11816072
151843e2d6ed35
hexc362e64e784

13426846132100 has 36 divisors (see below), whose sum is σ = 29923722496164. Its totient is φ = 5225583358080.

The previous prime is 13426846132033. The next prime is 13426846132127. The reversal of 13426846132100 is 123164862431.

It can be written as a sum of positive squares in 6 ways, for example, as 350710315264 + 13076135816836 = 592208^2 + 3616094^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1814434967 + ... + 1814442366.

Almost surely, 213426846132100 is an apocalyptic number.

13426846132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13426846132100 is an abundant number, since it is smaller than the sum of its proper divisors (16496876364064).

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

13426846132100 is a wasteful number, since it uses less digits than its factorization.

13426846132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628877384 (or 3628877377 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 13426846132100 in words is "thirteen trillion, four hundred twenty-six billion, eight hundred forty-six million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 3628877333 7257754666 14515509332 18144386665 36288773330 72577546660 90721933325 134268461321 181443866650 268536922642 362887733300 537073845284 671342306605 1342684613210 2685369226420 3356711533025 6713423066050 13426846132100