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198448905940 = 225195348720233
BaseRepresentation
bin1011100011010001111…
…0011111111011010100
3200222020020121221110021
42320310132133323110
511222410404442230
6231055520434524
720223514603615
oct2706436377324
9628206557407
10198448905940
117718626328a
1232564178a44
1315937b7a83c
1498680bbc0c
1552671d5c7a
hex2e3479fed4

198448905940 has 96 divisors (see below), whose sum is σ = 447893349120. Its totient is φ = 73627646976.

The previous prime is 198448905871. The next prime is 198448905947. The reversal of 198448905940 is 49509844891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198448905947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9798064 + ... + 9818296.

It is an arithmetic number, because the mean of its divisors is an integer number (4665555720).

Almost surely, 2198448905940 is an apocalyptic number.

198448905940 is a gapful number since it is divisible by the number (10) 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 198448905940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223946674560).

198448905940 is an abundant number, since it is smaller than the sum of its proper divisors (249444443180).

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

198448905940 is a wasteful number, since it uses less digits than its factorization.

198448905940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20801 (or 20799 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 61.

The spelling of 198448905940 in words is "one hundred ninety-eight billion, four hundred forty-eight million, nine hundred five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 487 530 974 1007 1060 1948 2014 2435 4028 4870 5035 9253 9740 10070 18506 20140 20233 25811 37012 40466 46265 51622 80932 92530 101165 103244 129055 185060 202330 258110 384427 404660 490409 516220 768854 980818 1072349 1537708 1922135 1961636 2144698 2452045 3844270 4289396 4904090 5361745 7688540 9808180 9853471 10723490 19706942 20374631 21446980 39413884 40749262 49267355 81498524 98534710 101873155 187215949 197069420 203746310 374431898 407492620 522233963 748863796 936079745 1044467926 1872159490 2088935852 2611169815 3744318980 5222339630 9922445297 10444679260 19844890594 39689781188 49612226485 99224452970 198448905940