Search a number
-
+
13664636344896 = 2633710717976757
BaseRepresentation
bin1100011011011000101111…
…0010111001101001000000
31210101022211000001010001120
43012312023302321221000
53242340133401014041
645021240340032240
72610144266332545
oct306661362715100
953338730033046
1013664636344896
114399159a86949
12164836b092680
13781753777044
1435352c7dabcc
1518a6adcc9366
hexc6d8bcb9a40

13664636344896 has 112 divisors (see below), whose sum is σ = 37478520334656. Its totient is φ = 4390355257344.

The previous prime is 13664636344883. The next prime is 13664636344903. The reversal of 13664636344896 is 69844363646631.

It is a self number, because there is not a number n which added to its sum of digits gives 13664636344896.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8228251 + ... + 9748506.

Almost surely, 213664636344896 is an apocalyptic number.

13664636344896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13664636344896 is an abundant number, since it is smaller than the sum of its proper divisors (23813883989760).

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

13664636344896 is a wasteful number, since it uses less digits than its factorization.

13664636344896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17976916 (or 17976906 counting only the distinct ones).

The product of its digits is 967458816, while the sum is 69.

The spelling of 13664636344896 in words is "thirteen trillion, six hundred sixty-four billion, six hundred thirty-six million, three hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 107 111 148 192 214 222 296 321 428 444 592 642 856 888 1184 1284 1712 1776 2368 2568 3424 3552 3959 5136 6848 7104 7918 10272 11877 15836 20544 23754 31672 47508 63344 95016 126688 190032 253376 380064 760128 17976757 35953514 53930271 71907028 107860542 143814056 215721084 287628112 431442168 575256224 665140009 862884336 1150512448 1330280018 1725768672 1923512999 1995420027 2660560036 3451537344 3847025998 3990840054 5321120072 5770538997 7694051996 7981680108 10642240144 11541077994 15388103992 15963360216 21284480288 23082155988 30776207984 31926720432 42568960576 46164311976 61552415968 63853440864 71169980963 92328623952 123104831936 127706881728 142339961926 184657247904 213509942889 284679923852 369314495808 427019885778 569359847704 854039771556 1138719695408 1708079543112 2277439390816 3416159086224 4554878781632 6832318172448 13664636344896