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75051605712 = 24317376140751
BaseRepresentation
bin100010111100101101…
…1001001111011010000
321011201110211121011110
41011321123021323100
52212201202340322
654251144213320
75264564060046
oct1057133117320
9234643747143
1075051605712
1129913747226
121266676a240
137100ba4465
1438bd8ac396
151e43d5cc0c
hex11796c9ed0

75051605712 has 160 divisors (see below), whose sum is σ = 214298141184. Its totient is φ = 22533120000.

The previous prime is 75051605711. The next prime is 75051605743. The reversal of 75051605712 is 21750615057.

It is a super-2 number, since 2×750516057122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75051605711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1821337 + ... + 1862087.

Almost surely, 275051605712 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 75051605712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107149070592).

75051605712 is an abundant number, since it is smaller than the sum of its proper divisors (139246535472).

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

75051605712 is a wasteful number, since it uses less digits than its factorization.

75051605712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40877 (or 40871 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 39.

The spelling of 75051605712 in words is "seventy-five billion, fifty-one million, six hundred five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 61 68 74 102 111 122 136 148 183 204 222 244 272 296 366 408 444 488 592 629 732 816 888 976 1037 1258 1464 1776 1887 2074 2257 2516 2928 3111 3774 4148 4514 5032 6222 6771 7548 8296 9028 10064 12444 13542 15096 16592 18056 24888 27084 30192 36112 38369 40751 49776 54168 76738 81502 108336 115107 122253 153476 163004 230214 244506 306952 326008 460428 489012 613904 652016 692767 920856 978024 1385534 1507787 1841712 1956048 2078301 2485811 2771068 3015574 4156602 4523361 4971622 5542136 6031148 7457433 8313204 9046722 9943244 11084272 12062296 14914866 16626408 18093444 19886488 24124592 25632379 29829732 33252816 36186888 39772976 42258787 51264758 59659464 72373776 76897137 84517574 91975007 102529516 119318928 126776361 153794274 169035148 183950014 205059032 253552722 275925021 307588548 338070296 367900028 410118064 507105444 551850042 615177096 676140592 735800056 1014210888 1103700084 1230354192 1471600112 1563575119 2028421776 2207400168 3127150238 4414800336 4690725357 6254300476 9381450714 12508600952 18762901428 25017201904 37525802856 75051605712