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20008252704 = 2531126217229
BaseRepresentation
bin10010101000100101…
…011011010100100000
31220122102001112211110
4102220211123110200
5311434103041304
613105222143320
71305552225156
oct225045332440
956572045743
1020008252704
118538156440
123a64881b40
131b6b3070ab
14d7b4333d6
157c184b289
hex4a895b520

20008252704 has 96 divisors (see below), whose sum is σ = 57326149440. Its totient is φ = 6059955200.

The previous prime is 20008252703. The next prime is 20008252741. The reversal of 20008252704 is 40725280002.

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 (20008252703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2764162 + ... + 2771390.

It is an arithmetic number, because the mean of its divisors is an integer number (597147390).

Almost surely, 220008252704 is an apocalyptic number.

20008252704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20008252704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28663074720).

20008252704 is an abundant number, since it is smaller than the sum of its proper divisors (37317896736).

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

20008252704 is a wasteful number, since it uses less digits than its factorization.

20008252704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9874 (or 9866 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The spelling of 20008252704 in words is "twenty billion, eight million, two hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2621 5242 7229 7863 10484 14458 15726 20968 21687 28831 28916 31452 41936 43374 57662 57832 62904 79519 83872 86493 86748 115324 115664 125808 159038 172986 173496 230648 231328 238557 251616 318076 345972 346992 461296 477114 636152 691944 693984 922592 954228 1272304 1383888 1908456 2544608 2767776 3816912 7633824 18947209 37894418 56841627 75788836 113683254 151577672 208419299 227366508 303155344 416838598 454733016 606310688 625257897 833677196 909466032 1250515794 1667354392 1818932064 2501031588 3334708784 5002063176 6669417568 10004126352 20008252704