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75054323344 = 2471131338729
BaseRepresentation
bin100010111100110010…
…1100001011010010000
321011201122221200001111
41011321211201122100
52212202401321334
654251322343104
75264626136140
oct1057145413220
9234648850044
1075054323344
1129915233000
121266765aa94
137101616420
1438bddb8920
151e441e8064
hex1179961690

75054323344 has 160 divisors (see below), whose sum is σ = 196864899840. Its totient is φ = 26991866880.

The previous prime is 75054323321. The next prime is 75054323363. The reversal of 75054323344 is 44332345057.

It is a junction number, because it is equal to n+sod(n) for n = 75054323297 and 75054323306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1918572 + ... + 1957300.

It is an arithmetic number, because the mean of its divisors is an integer number (1230405624).

Almost surely, 275054323344 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 75054323344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98432449920).

75054323344 is an abundant number, since it is smaller than the sum of its proper divisors (121810576496).

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

75054323344 is a wasteful number, since it uses less digits than its factorization.

75054323344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38790 (or 38762 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 40.

The spelling of 75054323344 in words is "seventy-five billion, fifty-four million, three hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 121 143 154 176 182 208 242 286 308 364 484 572 616 728 847 968 1001 1144 1232 1331 1456 1573 1694 1936 2002 2288 2662 3146 3388 4004 5324 6292 6776 8008 9317 10648 11011 12584 13552 16016 17303 18634 21296 22022 25168 34606 37268 38729 44044 69212 74536 77458 88088 121121 138424 149072 154916 176176 242242 271103 276848 309832 426019 484484 503477 542206 619664 852038 968968 1006954 1084412 1704076 1937936 2013908 2168824 2982133 3408152 3524339 4027816 4337648 4686209 5538247 5964266 6816304 7048678 8055632 9372418 11076494 11928532 14097356 18744836 22152988 23857064 28194712 32803463 37489672 38767729 44305976 47714128 51548299 56389424 60920717 65606926 74979344 77535458 88611952 103096598 121841434 131213852 155070916 206193196 243682868 262427704 310141832 360838093 412386392 426445019 487365736 524855408 620283664 670127887 721676186 824772784 852890038 974731472 1340255774 1443352372 1705780076 2680511548 2886704744 3411560152 4690895209 5361023096 5773409488 6823120304 9381790418 10722046192 18763580836 37527161672 75054323344