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1004332228392 = 23317191319411051
BaseRepresentation
bin11101001110101101101…
…11011001111100101000
310120000100122021102121110
432213112313121330220
5112423333022302032
62045214525110320
7132363201041343
oct16472667317450
93500318242543
101004332228392
11357a313a6239
121427909b83a0
13739289903ac
143687795d45a
151b1d1c647cc
hexe9d6dd9f28

1004332228392 has 256 divisors, whose sum is σ = 2825493580800. Its totient is φ = 295626240000.

The previous prime is 1004332228387. The next prime is 1004332228481. The reversal of 1004332228392 is 2938222334001.

It is a self number, because there is not a number n which added to its sum of digits gives 1004332228392.

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, 955596267 + ... + 955597317.

It is an arithmetic number, because the mean of its divisors is an integer number (11037084300).

Almost surely, 21004332228392 is an apocalyptic number.

1004332228392 is a gapful number since it is divisible by the number (12) 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 1004332228392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412746790400).

1004332228392 is an abundant number, since it is smaller than the sum of its proper divisors (1821161352408).

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

1004332228392 is a wasteful number, since it uses less digits than its factorization.

1004332228392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 1004332228392 in words is "one trillion, four billion, three hundred thirty-two million, two hundred twenty-eight thousand, three hundred ninety-two".