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198136896 = 2635319471
BaseRepresentation
bin10111100111101…
…01010001000000
3111210211101201120
423303311101000
5401210340041
631354432240
74624064406
oct1363652100
9453741646
10198136896
11a1930201
1256432680
1332084289
141c459476
15125dc366
hexbcf5440

198136896 has 56 divisors (see below), whose sum is σ = 534155904. Its totient is φ = 64796160.

The previous prime is 198136859. The next prime is 198136901. The reversal of 198136896 is 698631891.

It is a super-3 number, since 3×1981368963 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441 + ... + 19911.

Almost surely, 2198136896 is an apocalyptic number.

198136896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267077952).

198136896 is an abundant number, since it is smaller than the sum of its proper divisors (336019008).

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

198136896 is a wasteful number, since it uses less digits than its factorization.

198136896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19539 (or 19529 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The square root of 198136896 is about 14076.1108265032. The cubic root of 198136896 is about 582.9819631615.

The spelling of 198136896 in words is "one hundred ninety-eight million, one hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2544 3392 5088 10176 19471 38942 58413 77884 116826 155768 233652 311536 467304 623072 934608 1031963 1246144 1869216 2063926 3095889 3738432 4127852 6191778 8255704 12383556 16511408 24767112 33022816 49534224 66045632 99068448 198136896