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2721715136 = 26741712087
BaseRepresentation
bin1010001000111010…
…0001001111000000
321000200101110021022
42202032201033000
521033224341021
61130023445012
7124306124360
oct24216411700
97020343238
102721715136
111177378958
1263b5b6768
13344b4a73a
141bb6869a0
1510de241ab
hexa23a13c0

2721715136 has 112 divisors (see below), whose sum is σ = 6415137792. Its totient is φ = 1121433600.

The previous prime is 2721715127. The next prime is 2721715187. The reversal of 2721715136 is 6315171272.

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

It is a junction number, because it is equal to n+sod(n) for n = 2721715096 and 2721715105.

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, 1303085 + ... + 1305171.

It is an arithmetic number, because the mean of its divisors is an integer number (57278016).

Almost surely, 22721715136 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 2721715136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207568896).

2721715136 is an abundant number, since it is smaller than the sum of its proper divisors (3693422656).

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

2721715136 is a wasteful number, since it uses less digits than its factorization.

2721715136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2208 counting only the distinct ones).

The product of its digits is 17640, while the sum is 35.

The square root of 2721715136 is about 52170.0597661149. The cubic root of 2721715136 is about 1396.1997508383.

The spelling of 2721715136 in words is "two billion, seven hundred twenty-one million, seven hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 71 82 112 142 164 224 284 287 328 448 497 568 574 656 994 1136 1148 1312 1988 2087 2272 2296 2624 2911 3976 4174 4544 4592 5822 7952 8348 9184 11644 14609 15904 16696 18368 20377 23288 29218 31808 33392 40754 46576 58436 66784 81508 85567 93152 116872 133568 148177 163016 171134 186304 233744 296354 326032 342268 467488 592708 598969 652064 684536 934976 1037239 1185416 1197938 1304128 1369072 2074478 2370832 2395876 2738144 4148956 4741664 4791752 5476288 6075257 8297912 9483328 9583504 12150514 16595824 19167008 24301028 33191648 38334016 42526799 48602056 66383296 85053598 97204112 170107196 194408224 340214392 388816448 680428784 1360857568 2721715136