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13345647984 = 2432139666749
BaseRepresentation
bin11000110110111011…
…00110110101110000
31021110002012011100200
430123131212311300
5204312441213414
610044135315200
7651501064464
oct143335466560
937402164320
1013345647984
1157292a7949
12270551bb00
131348b93036
149086224a4
1553197b109
hex31b766d70

13345647984 has 60 divisors (see below), whose sum is σ = 37618035000. Its totient is φ = 4416538752.

The previous prime is 13345647977. The next prime is 13345648003. The reversal of 13345647984 is 48974654331.

13345647984 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 564 + 79 + 8 + 4 = 666.

It is a super-2 number, since 2×133456479842 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13345647984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313359 + ... + 353390.

It is an arithmetic number, because the mean of its divisors is an integer number (626967250).

Almost surely, 213345647984 is an apocalyptic number.

It is an amenable number.

13345647984 is an abundant number, since it is smaller than the sum of its proper divisors (24272387016).

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

13345647984 is a wasteful number, since it uses less digits than its factorization.

13345647984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666902 (or 666893 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 13345647984 in words is "thirteen billion, three hundred forty-five million, six hundred forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 10008 20016 666749 1333498 2000247 2666996 4000494 5333992 6000741 8000988 10667984 12001482 16001976 24002964 32003952 48005928 92678111 96011856 185356222 278034333 370712444 556068666 741424888 834102999 1112137332 1482849776 1668205998 2224274664 3336411996 4448549328 6672823992 13345647984