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2971686438 = 2327210133359
BaseRepresentation
bin1011000100100000…
…0101011000100110
321200002202022102200
42301020011120212
522041222431223
61210513315330
7133432626600
oct26110053046
97602668380
102971686438
111295492006
126ab265b46
13384880056
14202956170
15125d4ea43
hexb1205626

2971686438 has 72 divisors (see below), whose sum is σ = 7564246560. Its totient is φ = 840621600.

The previous prime is 2971686401. The next prime is 2971686439. The reversal of 2971686438 is 8346861792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971686439) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72403 + ... + 105761.

It is an arithmetic number, because the mean of its divisors is an integer number (105058980).

Almost surely, 22971686438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2971686438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782123280).

2971686438 is an abundant number, since it is smaller than the sum of its proper divisors (4592560122).

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

2971686438 is a wasteful number, since it uses less digits than its factorization.

2971686438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33482 (or 33472 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2971686438 is about 54513.1767373724. The cubic root of 2971686438 is about 1437.6979740744.

The spelling of 2971686438 in words is "two billion, nine hundred seventy-one million, six hundred eighty-six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 101 126 147 202 294 303 441 606 707 882 909 1414 1818 2121 4242 4949 6363 9898 12726 14847 29694 33359 44541 66718 89082 100077 200154 233513 300231 467026 600462 700539 1401078 1634591 2101617 3269182 3369259 4203234 4903773 6738518 9807546 10107777 14711319 20215554 23584813 29422638 30323331 47169626 60646662 70754439 141508878 165093691 212263317 330187382 424526634 495281073 990562146 1485843219 2971686438