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198622242048 = 2833741170483
BaseRepresentation
bin1011100011111011001…
…1101110010100000000
3200222200022210022220010
42320332303232110000
511223234243221143
6231125031544520
720231021125656
oct2707663562400
9628608708803
10198622242048
117726509426a
12325b222b140
1315964a5a499
14988311cdd6
155277524a33
hex2e3ecee500

198622242048 has 144 divisors (see below), whose sum is σ = 556156996416. Its totient is φ = 62846484480.

The previous prime is 198622241999. The next prime is 198622242053. The reversal of 198622242048 is 840242226891.

198622242048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 198622241988 and 198622242006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1079815 + ... + 1250297.

It is an arithmetic number, because the mean of its divisors is an integer number (3862201364).

Almost surely, 2198622242048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198622242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278078498208).

198622242048 is an abundant number, since it is smaller than the sum of its proper divisors (357534754368).

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

198622242048 is a wasteful number, since it uses less digits than its factorization.

198622242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170580 (or 170566 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 198622242048 in words is "one hundred ninety-eight billion, six hundred twenty-two million, two hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 41 48 64 74 82 96 111 123 128 148 164 192 222 246 256 296 328 384 444 492 592 656 768 888 984 1184 1312 1517 1776 1968 2368 2624 3034 3552 3936 4551 4736 5248 6068 7104 7872 9102 9472 10496 12136 14208 15744 18204 24272 28416 31488 36408 48544 72816 97088 145632 170483 194176 291264 340966 388352 511449 582528 681932 1022898 1165056 1363864 2045796 2727728 4091592 5455456 6307871 6989803 8183184 10910912 12615742 13979606 16366368 18923613 20969409 21821824 25231484 27959212 32732736 37847226 41938818 43643648 50462968 55918424 65465472 75694452 83877636 100925936 111836848 130930944 151388904 167755272 201851872 223673696 258622711 302777808 335510544 403703744 447347392 517245422 605555616 671021088 775868133 807407488 894694784 1034490844 1211111232 1342042176 1551736266 1614814976 1789389568 2068981688 2422222464 2684084352 3103472532 4137963376 4844444928 5368168704 6206945064 8275926752 12413890128 16551853504 24827780256 33103707008 49655560512 66207414016 99311121024 198622242048