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13564545024 = 211315114621
BaseRepresentation
bin11001010001000001…
…01000100000000000
31022000100002021122110
430220200220200000
5210240010420044
610121555135320
7660066505332
oct145040504000
938010067573
1013564545024
115830917498
1227668a4540
131382335704
14929723452
15545cb96b9
hex328828800

13564545024 has 96 divisors (see below), whose sum is σ = 36405270720. Its totient is φ = 4491264000.

The previous prime is 13564545023. The next prime is 13564545031. The reversal of 13564545024 is 42054546531.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13564545023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 920434 + ... + 935054.

It is an arithmetic number, because the mean of its divisors is an integer number (379221570).

Almost surely, 213564545024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13564545024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18202635360).

13564545024 is an abundant number, since it is smaller than the sum of its proper divisors (22840725696).

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

13564545024 is a wasteful number, since it uses less digits than its factorization.

13564545024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14797 (or 14777 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 13564545024 in words is "thirteen billion, five hundred sixty-four million, five hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 256 302 384 453 512 604 768 906 1024 1208 1536 1812 2048 2416 3072 3624 4832 6144 7248 9664 14496 14621 19328 28992 29242 38656 43863 57984 58484 77312 87726 115968 116968 154624 175452 231936 233936 309248 350904 463872 467872 701808 927744 935744 1403616 1871488 2207771 2807232 3742976 4415542 5614464 6623313 7485952 8831084 11228928 13246626 14971904 17662168 22457856 26493252 29943808 35324336 44915712 52986504 70648672 89831424 105973008 141297344 211946016 282594688 423892032 565189376 847784064 1130378752 1695568128 2260757504 3391136256 4521515008 6782272512 13564545024