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802396004046 = 2372131931431827
BaseRepresentation
bin10111010110100101000…
…01110101111011001110
32211201010100122100122020
423223102201311323032
5101121301334112141
61412340551031010
7111654056333400
oct13532241657316
92751110570566
10802396004046
1128a32669802a
1210b61496b466
135a886496550
142ab9c664b70
1515d13829266
hexbad2875ece

802396004046 has 384 divisors, whose sum is σ = 2192190013440. Its totient is φ = 193331577600.

The previous prime is 802396003943. The next prime is 802396004051. The reversal of 802396004046 is 640400693208.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 802396003989 and 802396004007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 970248685 + ... + 970249511.

It is an arithmetic number, because the mean of its divisors is an integer number (5708828160).

Almost surely, 2802396004046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802396004046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096095006720).

802396004046 is an abundant number, since it is smaller than the sum of its proper divisors (1389794009394).

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

802396004046 is a wasteful number, since it uses less digits than its factorization.

802396004046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 802396004046 in words is "eight hundred two billion, three hundred ninety-six million, four thousand, forty-six".