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805239152640 = 2133351356009
BaseRepresentation
bin10111011011110111111…
…11100110000000000000
32211222110111112021022000
423231323333212000000
5101143112210341030
61413531033344000
7112114401602346
oct13557377460000
92758414467260
10805239152640
1129055556670a
12110088b68000
135ac1a5204b0
142ad8c0bb996
1515e2d238860
hexbb7bfe6000

805239152640 has 448 divisors, whose sum is σ = 3083175748800. Its totient is φ = 198209175552.

The previous prime is 805239152623. The next prime is 805239152651. The reversal of 805239152640 is 46251932508.

805239152640 is a `hidden beast` number, since 8 + 0 + 52 + 39 + 1 + 526 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14348956 + ... + 14404964.

It is an arithmetic number, because the mean of its divisors is an integer number (6882088725).

Almost surely, 2805239152640 is an apocalyptic number.

805239152640 is a gapful number since it is divisible by the number (80) 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 805239152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541587874400).

805239152640 is an abundant number, since it is smaller than the sum of its proper divisors (2277936596160).

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

805239152640 is a wasteful number, since it uses less digits than its factorization.

805239152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56062 (or 56032 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 805239152640 in words is "eight hundred five billion, two hundred thirty-nine million, one hundred fifty-two thousand, six hundred forty".