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5645614338 = 2327132475641
BaseRepresentation
bin1010100001000000…
…10011110100000010
3112120110012220221100
411100200103310002
543030234124323
62332113035230
7256621634010
oct52040236402
915513186840
105645614338
112437890681
121116855b16
136bc838600
143b7b1d8b0
15230984943
hex150813d02

5645614338 has 144 divisors (see below), whose sum is σ = 15462510336. Its totient is φ = 1457015040.

The previous prime is 5645614333. The next prime is 5645614363. The reversal of 5645614338 is 8334165465.

5645614338 is a `hidden beast` number, since 56 + 4 + 561 + 4 + 3 + 38 = 666.

It is a super-2 number, since 2×56456143382 = 63745922506862356488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5645614293 and 5645614302.

It is not an unprimeable number, because it can be changed into a prime (5645614333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 997998 + ... + 1003638.

It is an arithmetic number, because the mean of its divisors is an integer number (107378544).

Almost surely, 25645614338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5645614338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7731255168).

5645614338 is an abundant number, since it is smaller than the sum of its proper divisors (9816895998).

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

5645614338 is a wasteful number, since it uses less digits than its factorization.

5645614338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5713 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 5645614338 is about 75137.3032388041. The cubic root of 5645614338 is about 1780.6165370467.

The spelling of 5645614338 in words is "five billion, six hundred forty-five million, six hundred fourteen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 47 63 78 91 94 117 126 141 169 182 234 273 282 329 338 423 507 546 611 658 819 846 987 1014 1183 1222 1521 1638 1833 1974 2366 2961 3042 3549 3666 4277 5499 5641 5922 7098 7943 8554 10647 10998 11282 12831 15886 16923 21294 23829 25662 33846 38493 39487 47658 50769 55601 71487 73333 76986 78974 101538 111202 118461 142974 146666 166803 219999 236922 265127 333606 355383 439998 500409 513331 530254 659997 710766 795381 953329 1000818 1026662 1319994 1539993 1590762 1855889 1906658 2386143 2859987 3079986 3446651 3711778 4619979 4772286 5567667 5719974 6673303 6893302 8579961 9239958 10339953 11135334 13346606 16703001 17159922 20019909 20679906 24126557 31019859 33406002 40039818 44806463 48253114 60059727 62039718 72379671 89612926 120119454 134419389 144759342 217139013 268838778 313645241 403258167 434278026 627290482 806516334 940935723 1881871446 2822807169 5645614338