Search a number
-
+
1608306238896 = 24374192293143
BaseRepresentation
bin10111011001110110100…
…001011010010110110000
312200202022121221010122220
4113121312201122112300
5202322302344121041
63230502400201040
7224124220320000
oct27316641322660
95622277833586
101608306238896
11570095a41735
1221b84a609180
13b887ca3c8b6
1457bb1910000
152bc80921d66
hex1767685a5b0

1608306238896 has 1200 divisors, whose sum is σ = 5589637954560. Its totient is φ = 397301345280.

The previous prime is 1608306238841. The next prime is 1608306238897. The reversal of 1608306238896 is 6988326038061.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1608306238897) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37402470651 + ... + 37402470693.

Almost surely, 21608306238896 is an apocalyptic number.

1608306238896 is a gapful number since it is divisible by the number (16) 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 1608306238896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794818977280).

1608306238896 is an abundant number, since it is smaller than the sum of its proper divisors (3981331715664).

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

1608306238896 is a wasteful number, since it uses less digits than its factorization.

1608306238896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 1608306238896 in words is "one trillion, six hundred eight billion, three hundred six million, two hundred thirty-eight thousand, eight hundred ninety-six".