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5645540340 = 22325115575119
BaseRepresentation
bin1010100001000000…
…00001101111110100
3112120110002011102200
411100200001233310
543030224242330
62332111304500
7256621205166
oct52040015764
915513064380
105645540340
112437840020
12111681b130
136bc810a1b
143b7b00936
1523096ca60
hex150801bf4

5645540340 has 144 divisors (see below), whose sum is σ = 18718801920. Its totient is φ = 1365891840.

The previous prime is 5645540333. The next prime is 5645540347. The reversal of 5645540340 is 430455465.

5645540340 is a `hidden beast` number, since 5 + 64 + 554 + 0 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5645540333) and next prime (5645540347).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5645540295 and 5645540304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5645540347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100301 + ... + 1105419.

It is an arithmetic number, because the mean of its divisors is an integer number (129991680).

Almost surely, 25645540340 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 5645540340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359400960).

5645540340 is an abundant number, since it is smaller than the sum of its proper divisors (13073261580).

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

5645540340 is a wasteful number, since it uses less digits than its factorization.

5645540340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 5645540340 is about 75136.8108186660. The cubic root of 5645540340 is about 1780.6087574009.

The spelling of 5645540340 in words is "five billion, six hundred forty-five million, five hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 557 660 990 1114 1671 1980 2228 2785 3342 5013 5119 5570 6127 6684 8355 10026 10238 11140 12254 15357 16710 18381 20052 20476 24508 25065 25595 30635 30714 33420 36762 46071 50130 51190 55143 56309 61270 61428 73524 76785 91905 92142 100260 102380 110286 112618 122540 153570 168927 183810 184284 220572 225236 230355 275715 281545 307140 337854 367620 460710 506781 551430 563090 675708 844635 921420 1013562 1102860 1126180 1689270 2027124 2533905 2851283 3378540 5067810 5702566 8553849 10135620 11405132 14256415 17107698 25661547 28512830 31364113 34215396 42769245 51323094 57025660 62728226 85538490 94092339 102646188 125456452 128307735 156820565 171076980 188184678 256615470 282277017 313641130 376369356 470461695 513230940 564554034 627282260 940923390 1129108068 1411385085 1881846780 2822770170 5645540340