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198402720020 = 22526936877829
BaseRepresentation
bin1011100011000110111…
…0010100000100010100
3200222010000201110021122
42320301232110010110
511222312044020040
6231051150503112
720222414203031
oct2706156240424
9628100643248
10198402720020
11771621880aa
1232550804a98
131592b4294ab
149861cd8388
1552631111b5
hex2e31b94114

198402720020 has 24 divisors (see below), whose sum is σ = 418194592200. Its totient is φ = 79066063232.

The previous prime is 198402720013. The next prime is 198402720023. The reversal of 198402720020 is 20027204891.

It can be written as a sum of positive squares in 4 ways, for example, as 5873076496 + 192529643524 = 76636^2 + 438782^2 .

It is a super-2 number, since 2×1984027200202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198402720023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18433535 + ... + 18444294.

It is an arithmetic number, because the mean of its divisors is an integer number (17424774675).

Almost surely, 2198402720020 is an apocalyptic number.

198402720020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198402720020 is an abundant number, since it is smaller than the sum of its proper divisors (219791872180).

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

198402720020 is a wasteful number, since it uses less digits than its factorization.

198402720020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36878107 (or 36878105 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 198402720020 in words is "one hundred ninety-eight billion, four hundred two million, seven hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 269 538 1076 1345 2690 5380 36877829 73755658 147511316 184389145 368778290 737556580 9920136001 19840272002 39680544004 49600680005 99201360010 198402720020