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3316561038 = 2347231011259
BaseRepresentation
bin1100010110101110…
…1011010010001110
322120010200202110000
43011223223102032
523243014423123
61305033225130
7145121206110
oct30553532216
98503622400
103316561038
11145212643a
127868621a6
1340b16036b
1423668b3b0
15146274b43
hexc5aeb48e

3316561038 has 160 divisors (see below), whose sum is σ = 8957329920. Its totient is φ = 896702400.

The previous prime is 3316561013. The next prime is 3316561043. The reversal of 3316561038 is 8301656133.

It is a happy number.

3316561038 is a `hidden beast` number, since 3 + 3 + 1 + 6 + 5 + 610 + 38 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3316560993 and 3316561011.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2633653 + ... + 2634911.

It is an arithmetic number, because the mean of its divisors is an integer number (55983312).

Almost surely, 23316561038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3316561038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478664960).

3316561038 is an abundant number, since it is smaller than the sum of its proper divisors (5640768882).

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

3316561038 is a wasteful number, since it uses less digits than its factorization.

3316561038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3316561038 is about 57589.5914033083. The cubic root of 3316561038 is about 1491.2919200572.

The spelling of 3316561038 in words is "three billion, three hundred sixteen million, five hundred sixty-one thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 101 126 138 161 162 189 202 207 303 322 378 414 483 567 606 621 707 909 966 1134 1242 1259 1414 1449 1818 1863 2121 2323 2518 2727 2898 3726 3777 4242 4347 4646 5454 6363 6969 7554 8181 8694 8813 11331 12726 13041 13938 16261 16362 17626 19089 20907 22662 26082 26439 28957 32522 33993 38178 41814 48783 52878 57267 57914 62721 67986 79317 86871 97566 101979 114534 125442 127159 146349 158634 173742 188163 202699 203958 237951 254318 260613 292698 376326 381477 405398 439047 475902 521226 608097 713853 762954 781839 878094 890113 1144431 1216194 1317141 1427706 1563678 1780226 1824291 2288862 2345517 2634282 2670339 2924657 3433293 3648582 4691034 5340678 5472873 5849314 6866586 8011017 8773971 10299879 10945746 16022034 16418619 17547942 20472599 20599758 24033051 26321913 32837238 40945198 48066102 52643826 61417797 72099153 78965739 122835594 144198306 157931478 184253391 236897217 368506782 473794434 552760173 1105520346 1658280519 3316561038