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21070727808 = 2731314472917
BaseRepresentation
bin10011100111111010…
…011100101010000000
32000101110021212200020
4103213322130222000
5321123101242213
613402454453440
71344103142214
oct234772345200
960343255606
1021070727808
118a32970739
124100664280
131caa4799a0
14103c5a4944
15834c6d923
hex4e7e9ca80

21070727808 has 128 divisors (see below), whose sum is σ = 60336769920. Its totient is φ = 6476599296.

The previous prime is 21070727801. The next prime is 21070727833. The reversal of 21070727808 is 80872707012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 21070727808.

It is not an unprimeable number, because it can be changed into a prime (21070727801) by changing a digit.

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, 7221966 + ... + 7224882.

It is an arithmetic number, because the mean of its divisors is an integer number (471381015).

Almost surely, 221070727808 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 21070727808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30168384960).

21070727808 is an abundant number, since it is smaller than the sum of its proper divisors (39266042112).

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

21070727808 is a wasteful number, since it uses less digits than its factorization.

21070727808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 42.

The spelling of 21070727808 in words is "twenty-one billion, seventy million, seven hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1447 1664 2496 2894 2917 4341 4992 5788 5834 8682 8751 11576 11668 17364 17502 18811 23152 23336 34728 35004 37622 37921 46304 46672 56433 69456 70008 75244 75842 92608 93344 112866 113763 138912 140016 150488 151684 185216 186688 225732 227526 277824 280032 300976 303368 373376 451464 455052 555648 560064 601952 606736 902928 910104 1120128 1203904 1213472 1805856 1820208 2407808 2426944 3611712 3640416 4220899 4853888 7223424 7280832 8441798 12662697 14561664 16883596 25325394 33767192 50650788 54871687 67534384 101301576 109743374 135068768 164615061 202603152 219486748 270137536 329230122 405206304 438973496 540275072 658460244 810412608 877946992 1316920488 1620825216 1755893984 2633840976 3511787968 5267681952 7023575936 10535363904 21070727808