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20832450352128 = 210343144318289
BaseRepresentation
bin1001011110010011011101…
…10011011001010000000000
32201202120012021122221020000
410233021232303121100000
510212304324242232003
6112150143502120000
74250044353201342
oct457115663312000
981676167587200
1020832450352128
116701aa1139668
122405575580000
13b816511908ac
14520420237292
15261d76e721a3
hex12f26ecd9400

20832450352128 has 440 divisors, whose sum is σ = 64365013827840. Its totient is φ = 6704609034240.

The previous prime is 20832450352127. The next prime is 20832450352139. The reversal of 20832450352128 is 82125305423802.

20832450352128 is a `hidden beast` number, since 2 + 0 + 83 + 2 + 4 + 503 + 52 + 12 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20832450352127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139060808 + ... + 1139079096.

It is an arithmetic number, because the mean of its divisors is an integer number (146284122336).

Almost surely, 220832450352128 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 20832450352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32182506913920).

20832450352128 is an abundant number, since it is smaller than the sum of its proper divisors (43532563475712).

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

20832450352128 is a wasteful number, since it uses less digits than its factorization.

20832450352128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18795 (or 18768 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 20832450352128 in words is "twenty trillion, eight hundred thirty-two billion, four hundred fifty million, three hundred fifty-two thousand, one hundred twenty-eight".