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6604739712 = 27321132449
BaseRepresentation
bin1100010011010110…
…00101010010000000
3122001021222112121100
412021223011102000
5102011303132322
63011214254400
7322446234624
oct61153052200
918037875540
106604739712
11288a22677a
121343ab7400
13813463b0c
1446926b184
15289c8edac
hex189ac5480

6604739712 has 144 divisors (see below), whose sum is σ = 19218215250. Its totient is φ = 2177236992.

The previous prime is 6604739711. The next prime is 6604739737. The reversal of 6604739712 is 2179374066.

6604739712 is a `hidden beast` number, since 6 + 604 + 7 + 39 + 7 + 1 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1994872896 + 4609866816 = 44664^2 + 67896^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (6604739711) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14709664 + ... + 14710112.

Almost surely, 26604739712 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 6604739712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9609107625).

6604739712 is an abundant number, since it is smaller than the sum of its proper divisors (12613475538).

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

6604739712 is a wasteful number, since it uses less digits than its factorization.

6604739712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 6604739712 is about 81269.5497218977. The cubic root of 6604739712 is about 1876.2263703935.

The spelling of 6604739712 in words is "six billion, six hundred four million, seven hundred thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 288 339 384 449 452 576 678 898 904 1017 1152 1347 1356 1796 1808 2034 2694 2712 3592 3616 4041 4068 5388 5424 7184 7232 8082 8136 10776 10848 12769 14368 14464 16164 16272 21552 21696 25538 28736 32328 32544 38307 43104 43392 50737 51076 57472 64656 65088 76614 86208 101474 102152 114921 129312 130176 152211 153228 172416 202948 204304 229842 258624 304422 306456 405896 408608 456633 459684 517248 608844 612912 811792 817216 913266 919368 1217688 1225824 1623584 1634432 1826532 1838736 2435376 2451648 3247168 3653064 3677472 4870752 4903296 5733281 6494336 7306128 7354944 9741504 11466562 14612256 14709888 17199843 19483008 22933124 29224512 34399686 45866248 51599529 58449024 68799372 91732496 103199058 137598744 183464992 206398116 275197488 366929984 412796232 550394976 733859968 825592464 1100789952 1651184928 2201579904 3302369856 6604739712