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75166020336 = 243111742119891
BaseRepresentation
bin100011000000000111…
…1100111001011110000
321012000110010110112010
41012000033213023300
52212420000122321
654310352402520
75300453426301
oct1060017471360
9235013113463
1075166020336
1129972293670
1212698b46440
13711b7c4014
1438d0b727a8
151e4de0d676
hex11803e72f0

75166020336 has 160 divisors (see below), whose sum is σ = 224836252416. Its totient is φ = 21385728000.

The previous prime is 75166020313. The next prime is 75166020337. The reversal of 75166020336 is 63302066157.

It is a super-2 number, since 2×751660203362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 75166020294 and 75166020303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75166020337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3768951 + ... + 3788841.

Almost surely, 275166020336 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 75166020336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112418126208).

75166020336 is an abundant number, since it is smaller than the sum of its proper divisors (149670232080).

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

75166020336 is a wasteful number, since it uses less digits than its factorization.

75166020336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20351 (or 20345 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 75166020336 in words is "seventy-five billion, one hundred sixty-six million, twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 421 528 561 748 816 842 1122 1263 1496 1684 2244 2526 2992 3368 4488 4631 5052 6736 7157 8976 9262 10104 13893 14314 18524 19891 20208 21471 27786 28628 37048 39782 42942 55572 57256 59673 74096 78727 79564 85884 111144 114512 119346 157454 159128 171768 218801 222288 236181 238692 314908 318256 338147 343536 437602 472362 477384 629816 656403 676294 875204 944724 954768 1014441 1259632 1312806 1352588 1750408 1889448 2028882 2625612 2705176 3500816 3719617 3778896 4057764 5251224 5410352 7439234 8115528 8374111 10502448 11158851 14878468 16231056 16748222 22317702 25122333 29756936 33496444 44635404 50244666 59513872 66992888 89270808 92115221 100489332 133985776 142359887 178541616 184230442 200978664 276345663 284719774 368460884 401957328 427079661 552691326 569439548 736921768 854159322 1105382652 1138879096 1473843536 1565958757 1708318644 2210765304 2277758192 3131917514 3416637288 4421530608 4697876271 6263835028 6833274576 9395752542 12527670056 18791505084 25055340112 37583010168 75166020336