Search a number
-
+
9996054000 = 243534735447
BaseRepresentation
bin10010100111100111…
…11010110111110000
3221210122100011020020
421103303322313300
5130432442212000
64331522043440
7502466025402
oct112363726760
927718304206
109996054000
11426a56a359
121b2b7a9580
13c33c3836a
146ab816b72
153d787dba0
hex253cfadf0

9996054000 has 160 divisors (see below), whose sum is σ = 32913893376. Its totient is φ = 2608825600.

The previous prime is 9996053987. The next prime is 9996054041. The reversal of 9996054000 is 4506999.

It is a happy number.

It is a congruent number.

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, 264277 + ... + 299723.

Almost surely, 29996054000 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 9996054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16456946688).

9996054000 is an abundant number, since it is smaller than the sum of its proper divisors (22917839376).

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

9996054000 is a wasteful number, since it uses less digits than its factorization.

9996054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35520 (or 35504 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 9996054000 is about 99980.2680532514. The cubic root of 9996054000 is about 2154.1512727736.

The spelling of 9996054000 in words is "nine billion, nine hundred ninety-six million, fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 125 141 150 188 200 235 240 250 282 300 375 376 400 470 500 564 600 705 750 752 940 1000 1128 1175 1200 1410 1500 1880 2000 2256 2350 2820 3000 3525 3760 4700 5640 5875 6000 7050 9400 11280 11750 14100 17625 18800 23500 28200 35250 35447 47000 56400 70500 70894 94000 106341 141000 141788 177235 212682 282000 283576 354470 425364 531705 567152 708940 850728 886175 1063410 1417880 1666009 1701456 1772350 2126820 2658525 2835760 3332018 3544700 4253640 4430875 4998027 5317050 6664036 7089400 8330045 8507280 8861750 9996054 10634100 13292625 13328072 14178800 16660090 17723500 19992108 21268200 24990135 26585250 26656144 33320180 35447000 39984216 41650225 42536400 49980270 53170500 66640360 70894000 79968432 83300450 99960540 106341000 124950675 133280720 166600900 199921080 208251125 212682000 249901350 333201800 399842160 416502250 499802700 624753375 666403600 833004500 999605400 1249506750 1666009000 1999210800 2499013500 3332018000 4998027000 9996054000