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13706329410176 = 271335812300189
BaseRepresentation
bin1100011101110100000011…
…1001010100101010000000
31210112022102122220021111112
43013131000321110222000
53244031030312111201
645052333435102452
72613151422463664
oct307350071245200
953468378807445
1013706329410176
1144049046a0997
121654465ba1a28
13785669518580
14355565ba68a4
1518b7ee2450bb
hexc7740e54a80

13706329410176 has 64 divisors (see below), whose sum is σ = 29414231670600. Its totient is φ = 6324228894720.

The previous prime is 13706329410167. The next prime is 13706329410181. The reversal of 13706329410176 is 67101492360731.

It can be written as a sum of positive squares in 4 ways, for example, as 13366160512576 + 340168897600 = 3655976^2 + 583240^2 .

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

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, 4808690 + ... + 7108878.

Almost surely, 213706329410176 is an apocalyptic number.

13706329410176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13706329410176 is an abundant number, since it is smaller than the sum of its proper divisors (15707902260424).

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

13706329410176 is a wasteful number, since it uses less digits than its factorization.

13706329410176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303797 (or 2303785 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The spelling of 13706329410176 in words is "thirteen trillion, seven hundred six billion, three hundred twenty-nine million, four hundred ten thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 3581 7162 14324 28648 46553 57296 93106 114592 186212 229184 372424 458368 744848 1489696 2300189 2979392 4600378 5958784 9200756 18401512 29902457 36803024 59804914 73606048 119609828 147212096 239219656 294424192 478439312 956878624 1913757248 3827514496 8236976809 16473953618 32947907236 65895814472 107080698517 131791628944 214161397034 263583257888 428322794068 527166515776 856645588136 1054333031552 1713291176272 3426582352544 6853164705088 13706329410176