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13423862889936 = 2432811114946079
BaseRepresentation
bin1100001101010111110010…
…0101000011110111010000
31202112022100002022022022200
43003111330211003313100
53224414032344434221
644314500521203200
72553561556620162
oct303257445036720
952468302268280
1013423862889936
114306034707534
121609774630500
13764b32087c75
14345a0b532932
151842baedb426
hexc357c943dd0

13423862889936 has 60 divisors (see below), whose sum is σ = 37614495434880. Its totient is φ = 4469103512640.

The previous prime is 13423862889901. The next prime is 13423862889937. The reversal of 13423862889936 is 63998826832431.

It is a happy number.

13423862889936 is a `hidden beast` number, since 1 + 3 + 423 + 8 + 6 + 2 + 88 + 99 + 36 = 666.

13423862889936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13423862889937) 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, 57356256 + ... + 57589823.

It is an arithmetic number, because the mean of its divisors is an integer number (626908257248).

Almost surely, 213423862889936 is an apocalyptic number.

13423862889936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13423862889936 is an abundant number, since it is smaller than the sum of its proper divisors (24190632544944).

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

13423862889936 is a wasteful number, since it uses less digits than its factorization.

13423862889936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114946904 (or 114946895 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 13423862889936 in words is "thirteen trillion, four hundred twenty-three billion, eight hundred sixty-two million, eight hundred eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 811 1622 2433 3244 4866 6488 7299 9732 12976 14598 19464 29196 38928 58392 116784 114946079 229892158 344838237 459784316 689676474 919568632 1034514711 1379352948 1839137264 2069029422 2758705896 4138058844 5517411792 8276117688 16552235376 93221270069 186442540138 279663810207 372885080276 559327620414 745770160552 838991430621 1118655240828 1491540321104 1677982861242 2237310481656 3355965722484 4474620963312 6711931444968 13423862889936