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198281463040 = 285533478423
BaseRepresentation
bin1011100010101001111…
…1110000010100000000
3200221210120112221222101
42320222133300110000
511222040023304130
6231031135520144
720216412425113
oct2705237602400
9627716487871
10198281463040
11770aa797a21
1232518089054
131590c2823bb
14984db7257a
15525765d1ca
hex2e2a7f0500

198281463040 has 144 divisors (see below), whose sum is σ = 485359475328. Its totient is φ = 77582655488.

The previous prime is 198281462969. The next prime is 198281463047. The reversal of 198281463040 is 40364182891.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198281463047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23536269 + ... + 23544691.

It is an arithmetic number, because the mean of its divisors is an integer number (3370551912).

Almost surely, 2198281463040 is an apocalyptic number.

198281463040 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 198281463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242679737664).

198281463040 is an abundant number, since it is smaller than the sum of its proper divisors (287078012288).

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

198281463040 is an equidigital number, since it uses as much as digits as its factorization.

198281463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 198281463040 in words is "one hundred ninety-eight billion, two hundred eighty-one million, four hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 347 424 530 640 694 848 1060 1280 1388 1696 1735 2120 2776 3392 3470 4240 5552 6784 6940 8423 8480 11104 13568 13880 16846 16960 18391 22208 27760 33692 33920 36782 42115 44416 55520 67384 67840 73564 84230 88832 91955 111040 134768 147128 168460 183910 222080 269536 294256 336920 367820 444160 446419 539072 588512 673840 735640 892838 1078144 1177024 1347680 1471280 1785676 2156288 2232095 2354048 2695360 2922781 2942560 3571352 4464190 4708096 5390720 5845562 5885120 7142704 8928380 10781440 11691124 11770240 14285408 14613905 17856760 23382248 23540480 28570816 29227810 35713520 46764496 57141632 58455620 71427040 93528992 114283264 116911240 142854080 154907393 187057984 233822480 285708160 309814786 374115968 467644960 571416320 619629572 748231936 774536965 935289920 1239259144 1549073930 1870579840 2478518288 3098147860 3741159680 4957036576 6196295720 9914073152 12392591440 19828146304 24785182880 39656292608 49570365760 99140731520 198281463040