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13770429931648 = 271326393313549
BaseRepresentation
bin1100100001100010110110…
…0101011010000010000000
31210202102212221100011020101
43020120231211122002000
53301103320030303043
645142014223452144
72620611043101535
oct310305545320200
953672787304211
1013770429931648
11442a00877a475
121664975157054
1378b713661110
143586c7098d8c
1518d30197724d
hexc862d95a080

13770429931648 has 64 divisors (see below), whose sum is σ = 29544744159000. Its totient is φ = 6355321970688.

The previous prime is 13770429931633. The next prime is 13770429931679. The reversal of 13770429931648 is 84613992407731.

It can be written as a sum of positive squares in 4 ways, for example, as 7211545026624 + 6558884905024 = 2685432^2 + 2561032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 13770429931648.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43761178 + ... + 44074726.

Almost surely, 213770429931648 is an apocalyptic number.

It is an amenable number.

13770429931648 is an abundant number, since it is smaller than the sum of its proper divisors (15774314227352).

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

13770429931648 is a wasteful number, since it uses less digits than its factorization.

13770429931648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339969 (or 339957 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

The spelling of 13770429931648 in words is "thirteen trillion, seven hundred seventy billion, four hundred twenty-nine million, nine hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 26393 52786 105572 211144 313549 343109 422288 627098 686218 844576 1254196 1372436 1689152 2508392 2744872 3378304 4076137 5016784 5489744 8152274 10033568 10979488 16304548 20067136 21958976 32609096 40134272 43917952 65218192 130436384 260872768 521745536 8275498757 16550997514 33101995028 66203990056 107581483841 132407980112 215162967682 264815960224 430325935364 529631920448 860651870728 1059263840896 1721303741456 3442607482912 6885214965824 13770429931648