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13145068984 = 23171910747543
BaseRepresentation
bin11000011111000000…
…11101010110111000
31020221002202200200211
430033200131112320
5203410114201414
610012212240504
7643514146165
oct141740352670
936832680624
1013145068984
115636059983
12266a310134
131316465338
148c9b2d06c
1551e05a3c4
hex30f81d5b8

13145068984 has 64 divisors (see below), whose sum is σ = 27727660800. Its totient is φ = 5805448704.

The previous prime is 13145068949. The next prime is 13145069009. The reversal of 13145068984 is 48986054131.

It is a happy number.

13145068984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252717 + ... + 300259.

It is an arithmetic number, because the mean of its divisors is an integer number (433244700).

Almost surely, 213145068984 is an apocalyptic number.

It is an amenable number.

13145068984 is an abundant number, since it is smaller than the sum of its proper divisors (14582591816).

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

13145068984 is a wasteful number, since it uses less digits than its factorization.

13145068984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47692 (or 47688 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 13145068984 in words is "thirteen billion, one hundred forty-five million, sixty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 17 19 34 38 68 76 107 136 152 214 323 428 646 856 1292 1819 2033 2584 3638 4066 7276 8132 14552 16264 34561 47543 69122 95086 138244 190172 276488 380344 808231 903317 1616462 1806634 3232924 3613268 5087101 6465848 7226536 10174202 15356389 20348404 30712778 40696808 61425556 86480717 96654919 122851112 172961434 193309838 345922868 386619676 691845736 773239352 1643133623 3286267246 6572534492 13145068984