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2069382604128 = 253729219718587
BaseRepresentation
bin11110000111010000110…
…100001010010101100000
321022211102211110022220220
4132013100310022111200
5232401043421313003
64222354455003040
7302336141623530
oct36072064122540
97284384408826
102069382604128
11728690593234
12295088069480
131201acb02108
14722314b14c0
1538c692d6353
hex1e1d0d0a560

2069382604128 has 288 divisors, whose sum is σ = 6462588996864. Its totient is φ = 567935821824.

The previous prime is 2069382604067. The next prime is 2069382604171. The reversal of 2069382604128 is 8214062839602.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111325651 + ... + 111344237.

It is an arithmetic number, because the mean of its divisors is an integer number (22439545128).

Almost surely, 22069382604128 is an apocalyptic number.

2069382604128 is a gapful number since it is divisible by the number (28) 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 2069382604128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231294498432).

2069382604128 is an abundant number, since it is smaller than the sum of its proper divisors (4393206392736).

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

2069382604128 is a wasteful number, since it uses less digits than its factorization.

2069382604128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18862 (or 18825 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 2069382604128 in words is "two trillion, sixty-nine billion, three hundred eighty-two million, six hundred four thousand, one hundred twenty-eight".