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198343889314720 = 25553110921090721
BaseRepresentation
bin101101000110010010001001…
…000100001110001110100000
3222000021111020200012102122021
4231012102021010032032200
5201444131241131032340
61541501531433551224
756530605322621642
oct5506221104161640
9860244220172567
10198343889314720
1158220197781596
121a2b445b275514
138689996615126
1436d9c77224892
1517de5a6916e4a
hexb4648910e3a0

198343889314720 has 96 divisors (see below), whose sum is σ = 477859237385040. Its totient is φ = 77770427105280.

The previous prime is 198343889314717. The next prime is 198343889314721. The reversal of 198343889314720 is 27413988343891.

It can be written as a sum of positive squares in 8 ways, for example, as 8550173668624 + 189793715646096 = 2924068^2 + 13776564^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 198343889314720.

It is not an unprimeable number, because it can be changed into a prime (198343889314721) 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, 1141041 + ... + 19949680.

Almost surely, 2198343889314720 is an apocalyptic number.

198343889314720 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 198343889314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238929618692520).

198343889314720 is an abundant number, since it is smaller than the sum of its proper divisors (279515348070320).

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

198343889314720 is a wasteful number, since it uses less digits than its factorization.

198343889314720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21091898 (or 21091890 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 70.

The spelling of 198343889314720 in words is "one hundred ninety-eight trillion, three hundred forty-three billion, eight hundred eighty-nine million, three hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1109 1696 2120 2218 4240 4436 5545 8480 8872 11090 17744 22180 35488 44360 58777 88720 117554 177440 235108 293885 470216 587770 940432 1175540 1880864 2351080 4702160 9404320 21090721 42181442 84362884 105453605 168725768 210907210 337451536 421814420 674903072 843628840 1117808213 1687257680 2235616426 3374515360 4471232852 5589041065 8942465704 11178082130 17884931408 22356164260 23389609589 35769862816 44712328520 46779219178 89424657040 93558438356 116948047945 178849314080 187116876712 233896095890 374233753424 467792191780 748467506848 935584383560 1239649308217 1871168767120 2479298616434 3742337534240 4958597232868 6198246541085 9917194465736 12396493082170 19834388931472 24792986164340 39668777862944 49585972328680 99171944657360 198343889314720