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8439378688 = 28132972011
BaseRepresentation
bin1111101110000011…
…01011001100000000
3210210011011212011001
413313001223030000
5114240440104223
63513233101344
7416064351406
oct76701531400
923704155131
108439378688
11364089a134
1217763b7854
13a46591500
145a0b9d476
15345d8b9ad
hex1f706b300

8439378688 has 108 divisors (see below), whose sum is σ = 18438519288. Its totient is φ = 3853025280.

The previous prime is 8439378677. The next prime is 8439378709. The reversal of 8439378688 is 8868739348.

It is a super-2 number, since 2×84393786882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4195603 + ... + 4197613.

Almost surely, 28439378688 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 8439378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9219259644).

8439378688 is an abundant number, since it is smaller than the sum of its proper divisors (9999140600).

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

8439378688 is a wasteful number, since it uses less digits than its factorization.

8439378688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2123 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 64.

The square root of 8439378688 is about 91866.0910673792. The cubic root of 8439378688 is about 2035.9642988273.

The spelling of 8439378688 in words is "eight billion, four hundred thirty-nine million, three hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 169 194 208 256 338 388 416 676 776 832 1261 1352 1552 1664 2011 2522 2704 3104 3328 4022 5044 5408 6208 8044 10088 10816 12416 16088 16393 20176 21632 24832 26143 32176 32786 40352 43264 52286 64352 65572 80704 104572 128704 131144 161408 195067 209144 257408 262288 322816 339859 390134 418288 514816 524576 679718 780268 836576 1049152 1359436 1560536 1673152 2098304 2535871 2718872 3121072 3346304 4196608 5071742 5437744 6242144 6692608 10143484 10875488 12484288 20286968 21750976 24968576 32966323 40573936 43501952 49937152 65932646 81147872 87003904 131865292 162295744 263730584 324591488 527461168 649182976 1054922336 2109844672 4219689344 8439378688