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13818696464201 = 312142910062629
BaseRepresentation
bin1100100100010110101001…
…1111100111011101001001
31210221001110201100001120012
43021011222133213131021
53302401142243323301
645220115503041305
72624240115622406
oct311055237473511
953831421301505
1013818696464201
1144485269a07a2
1216721a55a0235
13793136237255
1435ab854b12ad
1518e6c9056ebb
hexc916a7e7749

13818696464201 has 12 divisors (see below), whose sum is σ = 14288833973700. Its totient is φ = 13363572489120.

The previous prime is 13818696464197. The next prime is 13818696464269. The reversal of 13818696464201 is 10246469681831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4247865271225 + 9570831192976 = 2061035^2 + 3093676^2 .

It is not a de Polignac number, because 13818696464201 - 22 = 13818696464197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13818696464291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3658046 + ... + 6404583.

It is an arithmetic number, because the mean of its divisors is an integer number (1190736164475).

Almost surely, 213818696464201 is an apocalyptic number.

It is an amenable number.

13818696464201 is a deficient number, since it is larger than the sum of its proper divisors (470137509499).

13818696464201 is a wasteful number, since it uses less digits than its factorization.

13818696464201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10064120 (or 10064089 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 59.

The spelling of 13818696464201 in words is "thirteen trillion, eight hundred eighteen billion, six hundred ninety-six million, four hundred sixty-four thousand, two hundred one".

Divisors: 1 31 961 1429 44299 1373269 10062629 311941499 9670186469 14379496841 445764402071 13818696464201