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5745591072 = 25321315110163
BaseRepresentation
bin1010101100111011…
…01100001100100000
3112211102100021020100
411112131230030200
543231332403242
62350043542400
7262244501244
oct52635541440
915742307210
105745591072
112489266681
12114422aa00
13707471640
143c7106424
1523963254c
hex15676c320

5745591072 has 144 divisors (see below), whose sum is σ = 17714144448. Its totient is φ = 1755993600.

The previous prime is 5745591043. The next prime is 5745591101. The reversal of 5745591072 is 2701955475.

5745591072 is a `hidden beast` number, since 57 + 4 + 5 + 591 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5745591043) and next prime (5745591101).

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

It is a super-3 number, since 3×57455910723 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560263 + ... + 570425.

It is an arithmetic number, because the mean of its divisors is an integer number (123014892).

Almost surely, 25745591072 is an apocalyptic number.

5745591072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5745591072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8857072224).

5745591072 is an abundant number, since it is smaller than the sum of its proper divisors (11968553376).

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

5745591072 is a wasteful number, since it uses less digits than its factorization.

5745591072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10332 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The square root of 5745591072 is about 75799.6772552496. The cubic root of 5745591072 is about 1791.0659227699.

The spelling of 5745591072 in words is "five billion, seven hundred forty-five million, five hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 151 156 208 234 288 302 312 416 453 468 604 624 906 936 1208 1248 1359 1812 1872 1963 2416 2718 3624 3744 3926 4832 5436 5889 7248 7852 10163 10872 11778 14496 15704 17667 20326 21744 23556 30489 31408 35334 40652 43488 47112 60978 62816 70668 81304 91467 94224 121956 132119 141336 162608 182934 188448 243912 264238 282672 325216 365868 396357 487824 528476 565344 731736 792714 975648 1056952 1189071 1463472 1534613 1585428 2113904 2378142 2926944 3069226 3170856 4227808 4603839 4756284 6138452 6341712 9207678 9512568 12276904 12683424 13811517 18415356 19025136 19949969 24553808 27623034 36830712 38050272 39899938 49107616 55246068 59849907 73661424 79799876 110492136 119699814 147322848 159599752 179549721 220984272 239399628 319199504 359099442 441968544 478799256 638399008 718198884 957598512 1436397768 1915197024 2872795536 5745591072