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2185721040832 = 26771283242813
BaseRepresentation
bin11111110011100111001…
…000000100111111000000
321201221201122202020211221
4133303213020010333000
5241302324041301312
64352034551244424
7313625130206350
oct37634710047700
97657648666757
102185721040832
11772a6060068a
122b3735679714
1312b160532984
1477b0a400b60
153bcc7ab9207
hex1fce7204fc0

2185721040832 has 112 divisors (see below), whose sum is σ = 5044501642752. Its totient is φ = 920276904960.

The previous prime is 2185721040809. The next prime is 2185721040847. The reversal of 2185721040832 is 2380401275812.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×21857210408322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8880258 + ... + 9123070.

Almost surely, 22185721040832 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 2185721040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522250821376).

2185721040832 is an abundant number, since it is smaller than the sum of its proper divisors (2858780601920).

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

2185721040832 is a wasteful number, since it uses less digits than its factorization.

2185721040832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243186 (or 243176 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 2185721040832 in words is "two trillion, one hundred eighty-five billion, seven hundred twenty-one million, forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 283 284 448 497 566 568 994 1132 1136 1981 1988 2264 2272 3962 3976 4528 4544 7924 7952 9056 15848 15904 18112 20093 31696 31808 40186 63392 80372 126784 140651 160744 242813 281302 321488 485626 562604 642976 971252 1125208 1285952 1699691 1942504 2250416 3399382 3885008 4500832 6798764 7770016 9001664 13597528 15540032 17239723 27195056 34479446 54390112 68716079 68958892 108780224 120678061 137432158 137917784 241356122 274864316 275835568 481012553 482712244 549728632 551671136 962025106 965424488 1099457264 1103342272 1924050212 1930848976 2198914528 3848100424 3861697952 4397829056 4878841609 7696200848 7723395904 9757683218 15392401696 19515366436 30784803392 34151891263 39030732872 68303782526 78061465744 136607565052 156122931488 273215130104 312245862976 546430260208 1092860520416 2185721040832