Search a number
-
+
42806738304 = 2733115232153
BaseRepresentation
bin100111110111011110…
…101111110110000000
311002111021102121122000
4213313132233312000
51200132011111204
631355400544000
73043535162211
oct476736576600
9132437377560
1042806738304
1117177319080
128367a82000
1340626cb865
142101267408
1511a8103039
hex9f77afd80

42806738304 has 256 divisors, whose sum is σ = 138152390400. Its totient is φ = 12940922880.

The previous prime is 42806738279. The next prime is 42806738321. The reversal of 42806738304 is 40383760824.

42806738304 is a `hidden beast` number, since 4 + 280 + 67 + 3 + 8 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42806738304.

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, 19881292 + ... + 19883444.

It is an arithmetic number, because the mean of its divisors is an integer number (539657775).

Almost surely, 242806738304 is an apocalyptic number.

42806738304 is a gapful number since it is divisible by the number (44) 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 42806738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69076195200).

42806738304 is an abundant number, since it is smaller than the sum of its proper divisors (95345652096).

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

42806738304 is a wasteful number, since it uses less digits than its factorization.

42806738304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 42806738304 in words is "forty-two billion, eight hundred six million, seven hundred thirty-eight thousand, three hundred four".