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202138946840848 = 241913913273604879
BaseRepresentation
bin101101111101100000100100…
…000111110010100100010000
3222111201021221202110202112011
4231331200210013302210100
5202443321030342401343
61553525203351312304
760402025353425203
oct5575404407624420
9874637852422464
10202138946840848
1159453711816206
121a807a7037b694
1388a380c154a34
1437cb811cb793a
1518581705ab29d
hexb7d8241f2910

202138946840848 has 80 divisors (see below), whose sum is σ = 415535959552000. Its totient is φ = 94989515826816.

The previous prime is 202138946840827. The next prime is 202138946840849. The reversal of 202138946840848 is 848048649831202.

It is not an unprimeable number, because it can be changed into a prime (202138946840849) 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, 54271273 + ... + 57876151.

It is an arithmetic number, because the mean of its divisors is an integer number (5194199494400).

Almost surely, 2202138946840848 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 202138946840848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207767979776000).

202138946840848 is an abundant number, since it is smaller than the sum of its proper divisors (213397012711152).

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

202138946840848 is a wasteful number, since it uses less digits than its factorization.

202138946840848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606372 (or 3606366 counting only the distinct ones).

The product of its (nonzero) digits is 169869312, while the sum is 67.

The spelling of 202138946840848 in words is "two hundred two trillion, one hundred thirty-eight billion, nine hundred forty-six million, eight hundred forty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 38 76 139 152 278 304 556 1112 1327 2224 2641 2654 5282 5308 10564 10616 21128 21232 25213 42256 50426 100852 184453 201704 368906 403408 737812 1475624 2951248 3504607 3604879 7009214 7209758 14018428 14419516 28036856 28839032 56073712 57678064 68492701 136985402 273970804 501078181 547941608 1002156362 1095883216 2004312724 4008625448 4783674433 8017250896 9520485439 9567348866 19040970878 19134697732 38081941756 38269395464 76163883512 76538790928 90889814227 152327767024 181779628454 363559256908 664930746187 727118513816 1329861492374 1454237027632 2659722984748 5319445969496 10638891938992 12633684177553 25267368355106 50534736710212 101069473420424 202138946840848