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286882138452 = 2237131274194937
BaseRepresentation
bin1000010110010111000…
…00100000100101010100
31000102111022100121122010
410023023200200211110
514200013311412302
6335443011504220
726504130641130
oct4131340404524
91012438317563
10286882138452
11100736540808
12477242b8070
132108c201460
14dc56c963c0
1576e0c2a16c
hex42cb820954

286882138452 has 192 divisors, whose sum is σ = 832504135680. Its totient is φ = 74871143424.

The previous prime is 286882138447. The next prime is 286882138519. The reversal of 286882138452 is 254831288682.

It is a super-2 number, since 2×2868821384522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 286882138392 and 286882138401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58106128 + ... + 58111064.

It is an arithmetic number, because the mean of its divisors is an integer number (4335959040).

Almost surely, 2286882138452 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 286882138452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416252067840).

286882138452 is an abundant number, since it is smaller than the sum of its proper divisors (545621997228).

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

286882138452 is a wasteful number, since it uses less digits than its factorization.

286882138452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 5508 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 57.

The spelling of 286882138452 in words is "two hundred eighty-six billion, eight hundred eighty-two million, one hundred thirty-eight thousand, four hundred fifty-two".