Search a number
-
+
84293737920 = 26325717324169
BaseRepresentation
bin100111010000001001…
…1000101110111000000
322001120120112120010100
41032200103011313000
52340113144103140
6102420215202400
76042606643650
oct1164023056700
9261516476110
1084293737920
1132826687a17
1214405976400
137c44870c42
144119112360
1522d5417530
hex13a04c5dc0

84293737920 has 336 divisors, whose sum is σ = 333283803840. Its totient is φ = 19154976768.

The previous prime is 84293737909. The next prime is 84293737973. The reversal of 84293737920 is 2973739248.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3475596 + ... + 3499764.

Almost surely, 284293737920 is an apocalyptic number.

84293737920 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 84293737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166641901920).

84293737920 is an abundant number, since it is smaller than the sum of its proper divisors (248990065920).

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

84293737920 is a wasteful number, since it uses less digits than its factorization.

84293737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24372 (or 24359 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 84293737920 in words is "eighty-four billion, two hundred ninety-three million, seven hundred thirty-seven thousand, nine hundred twenty".