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9139360000 = 28542392
BaseRepresentation
bin10001000001011111…
…11001000100000000
3212120221022120222211
420200233321010000
5122204134010000
64110520111504
7442324164301
oct104057710400
925527276884
109139360000
11396aa26491
121930905594
13b285c5234
14629b307a8
153875587ba
hex220bf9100

9139360000 has 135 divisors (see below), whose sum is σ = 22892258851. Its totient is φ = 3640448000.

The previous prime is 9139359989. The next prime is 9139360037. The reversal of 9139360000 is 639319.

The square root of 9139360000 is 95600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 716525824 + 8422834176 = 26768^2 + 91776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 38239881 + ... + 38240119.

Almost surely, 29139360000 is an apocalyptic number.

9139360000 is the 95600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9139360000

9139360000 is an abundant number, since it is smaller than the sum of its proper divisors (13752898851).

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

9139360000 is an frugal number, since it uses more digits than its factorization.

9139360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 31.

The cubic root of 9139360000 is about 2090.7651937404.

Adding to 9139360000 its reverse (639319), we get a palindrome (9139999319).

The spelling of 9139360000 in words is "nine billion, one hundred thirty-nine million, three hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 239 250 256 320 400 478 500 625 640 800 956 1000 1195 1250 1280 1600 1912 2000 2390 2500 3200 3824 4000 4780 5000 5975 6400 7648 8000 9560 10000 11950 15296 16000 19120 20000 23900 29875 30592 32000 38240 40000 47800 57121 59750 61184 76480 80000 95600 114242 119500 149375 152960 160000 191200 228484 239000 285605 298750 305920 382400 456968 478000 571210 597500 764800 913936 956000 1142420 1195000 1428025 1529600 1827872 1912000 2284840 2390000 2856050 3655744 3824000 4569680 4780000 5712100 7140125 7311488 7648000 9139360 9560000 11424200 14280250 14622976 18278720 19120000 22848400 28560500 35700625 36557440 38240000 45696800 57121000 71401250 73114880 91393600 114242000 142802500 182787200 228484000 285605000 365574400 456968000 571210000 913936000 1142420000 1827872000 2284840000 4569680000 9139360000