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199294979088 = 243174737913711
BaseRepresentation
bin1011100110011011101…
…0000000110000010000
3201001102012122220121210
42321212322000300100
511231124003312323
6231315503020120
720253500241312
oct2714672006020
9631365586553
10199294979088
117757a902597
123275b59a640
1315a4124263a
1499085db7b2
1552b660e293
hex2e66e80c10

199294979088 has 160 divisors (see below), whose sum is σ = 558238556160. Its totient is φ = 61027706880.

The previous prime is 199294979087. The next prime is 199294979099. The reversal of 199294979088 is 880979492991.

It is not an unprimeable number, because it can be changed into a prime (199294979087) 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, 14528553 + ... + 14542263.

It is an arithmetic number, because the mean of its divisors is an integer number (3488990976).

Almost surely, 2199294979088 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 199294979088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279119278080).

199294979088 is an abundant number, since it is smaller than the sum of its proper divisors (358943577072).

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

199294979088 is a wasteful number, since it uses less digits than its factorization.

199294979088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14165 (or 14159 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 75.

The spelling of 199294979088 in words is "one hundred ninety-nine billion, two hundred ninety-four million, nine hundred seventy-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 94 102 136 141 188 204 272 282 376 379 408 564 752 758 799 816 1128 1137 1516 1598 2256 2274 2397 3032 3196 4548 4794 6064 6392 6443 9096 9588 12784 12886 13711 17813 18192 19176 19329 25772 27422 35626 38352 38658 41133 51544 53439 54844 71252 77316 82266 103088 106878 109688 142504 154632 164532 213756 219376 233087 285008 302821 309264 329064 427512 466174 605642 644417 658128 699261 855024 908463 932348 1211284 1288834 1398522 1816926 1864696 1933251 2422568 2577668 2797044 3633852 3729392 3866502 4845136 5155336 5196469 5594088 7267704 7733004 10310672 10392938 10955089 11188176 14535408 15466008 15589407 20785876 21910178 30932016 31178814 32865267 41571752 43820356 62357628 65730534 83143504 87640712 88339973 124715256 131461068 175281424 176679946 244234043 249430512 262922136 265019919 353359892 488468086 525844272 530039838 706719784 732702129 976936172 1060079676 1413439568 1465404258 1953872344 2120159352 2930808516 3907744688 4151978731 4240318704 5861617032 8303957462 11723234064 12455936193 16607914924 24911872386 33215829848 49823744772 66431659696 99647489544 199294979088