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20382342641892 = 22327111731101138143
BaseRepresentation
bin1001010001001101000100…
…10010101111100011100100
32200011112101111121010221100
410220212202102233203210
510132421014204020032
6111203304031520100
74202401310610510
oct450464222574344
980145344533840
1020382342641892
1165491150669a0
122352299389030
13b4b07b69c78a
14506721307140
152552d150997c
hex1289a24af8e4

20382342641892 has 576 divisors, whose sum is σ = 70903440211968. Its totient is φ = 4774187520000.

The previous prime is 20382342641863. The next prime is 20382342641897. The reversal of 20382342641892 is 29814624328302.

20382342641892 is a `hidden beast` number, since 2 + 0 + 38 + 2 + 3 + 426 + 4 + 189 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (20382342641897) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147476173 + ... + 147614315.

It is an arithmetic number, because the mean of its divisors is an integer number (123096250368).

Almost surely, 220382342641892 is an apocalyptic number.

20382342641892 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20382342641892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35451720105984).

20382342641892 is an abundant number, since it is smaller than the sum of its proper divisors (50521097570076).

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

20382342641892 is a wasteful number, since it uses less digits than its factorization.

20382342641892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138320 (or 138315 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 20382342641892 in words is "twenty trillion, three hundred eighty-two billion, three hundred forty-two million, six hundred forty-one thousand, eight hundred ninety-two".