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401640582798 = 23271319127307331
BaseRepresentation
bin1011101100000111010…
…01001110111010001110
31102101201000121121111200
411312003221032322032
523040024442122143
6504302223330330
741006012424150
oct5660351167216
91371630547450
10401640582798
11145375702554
1265a107509a6
132bb4a4b2cb0
141562201cad0
15a6aa9621d3
hex5d83a4ee8e

401640582798 has 384 divisors, whose sum is σ = 1143434772480. Its totient is φ = 98937780480.

The previous prime is 401640582797. The next prime is 401640582809. The reversal of 401640582798 is 897285046104.

It is a happy number.

401640582798 is a `hidden beast` number, since 4 + 0 + 16 + 40 + 582 + 7 + 9 + 8 = 666.

It is a super-2 number, since 2×4016405827982 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401640582797) 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, 1213415493 + ... + 1213415823.

It is an arithmetic number, because the mean of its divisors is an integer number (2977694720).

Almost surely, 2401640582798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401640582798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571717386240).

401640582798 is an abundant number, since it is smaller than the sum of its proper divisors (741794189682).

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

401640582798 is a wasteful number, since it uses less digits than its factorization.

401640582798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 401640582798 in words is "four hundred one billion, six hundred forty million, five hundred eighty-two thousand, seven hundred ninety-eight".