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198049522242 = 2311137310333061
BaseRepresentation
bin1011100001110010101…
…0111110001001000010
3200221012102010011000110
42320130222332021002
511221101134202432
6230552132332150
720210565106635
oct2703452761102
9627172104013
10198049522242
1176aa0879410
1232472474056
13158a31c3920
14982b037c1c
1552420e4dcc
hex2e1cabe242

198049522242 has 128 divisors (see below), whose sum is σ = 472332655872. Its totient is φ = 54568857600.

The previous prime is 198049522241. The next prime is 198049522243. The reversal of 198049522242 is 242225940891.

It is an interprime number because it is at equal distance from previous prime (198049522241) and next prime (198049522243).

It is a super-2 number, since 2×1980495222422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198049522191 and 198049522200.

It is not an unprimeable number, because it can be changed into a prime (198049522241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64699392 + ... + 64702452.

It is an arithmetic number, because the mean of its divisors is an integer number (3690098874).

Almost surely, 2198049522242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198049522242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236166327936).

198049522242 is an abundant number, since it is smaller than the sum of its proper divisors (274283133630).

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

198049522242 is a wasteful number, since it uses less digits than its factorization.

198049522242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196.

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 198049522242 in words is "one hundred ninety-eight billion, forty-nine million, five hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 73 78 143 146 219 286 429 438 803 858 949 1033 1606 1898 2066 2409 2847 3061 3099 4818 5694 6122 6198 9183 10439 11363 13429 18366 20878 22726 26858 31317 33671 34089 39793 40287 62634 67342 68178 75409 79586 80574 101013 119379 147719 150818 202026 223453 226227 238758 295438 437723 443157 446906 452454 670359 829499 875446 886314 980317 1313169 1340718 1658998 1960634 2457983 2488497 2626338 2904889 2940951 3162013 4915966 4976994 5809778 5881902 6324026 7373949 8714667 9486039 10783487 14747898 17429334 18972078 21566974 31953779 32350461 34782143 41106169 63907558 64700922 69564286 82212338 95861337 104346429 123318507 191722674 208692858 230826949 246637014 452167859 461653898 692480847 904335718 1356503577 1384961694 2539096439 2713007154 3000750337 5078192878 6001500674 7617289317 9002251011 15234578634 18004502022 33008253707 66016507414 99024761121 198049522242