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13410500205204 = 22323710067943097
BaseRepresentation
bin1100001100100110000000…
…0110011101101010010100
31202111000211211001120221100
43003021200012131222110
53224204201023031304
644304410532350100
72552606460644514
oct303114006355224
952430754046840
1013410500205204
1143003a7833733
121607065475330
137637b280b51b
14345100957844
15183c87ce7439
hexc326019da94

13410500205204 has 36 divisors (see below), whose sum is σ = 34814947232884. Its totient is φ = 4349351417472.

The previous prime is 13410500205181. The next prime is 13410500205217. The reversal of 13410500205204 is 40250200501431.

13410500205204 is a `hidden beast` number, since 1 + 34 + 105 + 0 + 0 + 2 + 0 + 520 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12055464521604 + 1355035683600 = 3472098^2 + 1164060^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×134105002052042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 5033970217 + ... + 5033972880.

Almost surely, 213410500205204 is an apocalyptic number.

It is an amenable number.

13410500205204 is an abundant number, since it is smaller than the sum of its proper divisors (21404447027680).

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

13410500205204 is a wasteful number, since it uses less digits than its factorization.

13410500205204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10067943144 (or 10067943139 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 13410500205204 its reverse (40250200501431), we get a palindrome (53660700706635).

The spelling of 13410500205204 in words is "thirteen trillion, four hundred ten billion, five hundred million, two hundred five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 10067943097 20135886194 30203829291 40271772388 60407658582 90611487873 120815317164 181222975746 362445951492 372513894589 745027789178 1117541683767 1490055578356 2235083367534 3352625051301 4470166735068 6705250102602 13410500205204