Search a number
-
+
80785422900 = 223552721317307
BaseRepresentation
bin100101100111100101…
…1111011101000110100
321201112002000200200000
41023033023323220310
52310422032013100
6101040131551300
75556636523200
oct1131713735064
9251462020600
1080785422900
11312962a0a16
12137a6a5b530
137805a829b0
143ca51cbb00
15217c416900
hex12cf2fba34

80785422900 has 1296 divisors, whose sum is σ = 349451758656. Its totient is φ = 15989944320.

The previous prime is 80785422871. The next prime is 80785422923. The reversal of 80785422900 is 922458708.

80785422900 is a `hidden beast` number, since 80 + 7 + 8 + 542 + 29 + 0 + 0 = 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 431 ways as a sum of consecutive naturals, for example, 263144547 + ... + 263144853.

Almost surely, 280785422900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80785422900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174725879328).

80785422900 is an abundant number, since it is smaller than the sum of its proper divisors (268666335756).

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

80785422900 is a wasteful number, since it uses less digits than its factorization.

80785422900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 80785422900 in words is "eighty billion, seven hundred eighty-five million, four hundred twenty-two thousand, nine hundred".