Search a number
-
+
68780104320 = 273541592251
BaseRepresentation
bin100000000001110011…
…1010001101010000000
320120112101220022121010
41000003213101222000
52111330201314240
651332552200520
74653302145324
oct1000347215200
9216471808533
1068780104320
1127195637424
12113b6399140
1366417a83a5
1434869c7984
151bc8495280
hex10039d1a80

68780104320 has 384 divisors, whose sum is σ = 229365017280. Its totient is φ = 17520640000.

The previous prime is 68780104319. The next prime is 68780104339. The reversal of 68780104320 is 2340108786.

It is a tau number, because it is divible by the number of its divisors (384).

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, 274024195 + ... + 274024445.

Almost surely, 268780104320 is an apocalyptic number.

68780104320 is a gapful number since it is divisible by the number (60) 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 68780104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114682508640).

68780104320 is an abundant number, since it is smaller than the sum of its proper divisors (160584912960).

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

68780104320 is a wasteful number, since it uses less digits than its factorization.

68780104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 68780104320 in words is "sixty-eight billion, seven hundred eighty million, one hundred four thousand, three hundred twenty".