Search a number
-
+
168769785856 = 212741312
BaseRepresentation
bin1001110100101101110…
…1101001000000000000
3121010121212010102120111
42131023131221000000
510231120031121411
6205310510121104
715123162340000
oct2351335510000
9533555112514
10168769785856
1165636165071
12288607b0194
1312bb8114319
148250520000
1545cb842721
hex274b769000

168769785856 has 195 divisors, whose sum is σ = 396753143363. Its totient is φ = 71777771520.

The previous prime is 168769785841. The next prime is 168769785869. The reversal of 168769785856 is 658587967861.

The square root of 168769785856 is 410816.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (1219276800) is a multiple of the sum of its prime divisors (140).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1288318911 + ... + 1288319041.

Almost surely, 2168769785856 is an apocalyptic number.

168769785856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

168769785856 is the 410816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168769785856

168769785856 is an abundant number, since it is smaller than the sum of its proper divisors (227983357507).

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

168769785856 is an frugal number, since it uses more digits than its factorization.

168769785856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 140 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 76.

The spelling of 168769785856 in words is "one hundred sixty-eight billion, seven hundred sixty-nine million, seven hundred eighty-five thousand, eight hundred fifty-six".