Search a number
-
+
192356714970 = 2325719611312011
BaseRepresentation
bin1011001100100101011…
…0101000100111011010
3200101111200002120112200
42303021112220213122
511122421304334340
6224211211551030
716616531046120
oct2631126504732
9611450076480
10192356714970
117463a395012
1231343a5b476
13151a6973804
14944ad51910
15500c43c330
hex2cc95a89da

192356714970 has 384 divisors, whose sum is σ = 616494827520. Its totient is φ = 40637376000.

The previous prime is 192356714969. The next prime is 192356715007. The reversal of 192356714970 is 79417653291.

192356714970 is a `hidden beast` number, since 1 + 9 + 2 + 3 + 567 + 1 + 4 + 9 + 70 = 666.

192356714970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1923567149702 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95651265 + ... + 95653275.

It is an arithmetic number, because the mean of its divisors is an integer number (1605455280).

Almost surely, 2192356714970 is an apocalyptic number.

192356714970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 192356714970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308247413760).

192356714970 is an abundant number, since it is smaller than the sum of its proper divisors (424138112550).

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

192356714970 is a wasteful number, since it uses less digits than its factorization.

192356714970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 192356714970 in words is "one hundred ninety-two billion, three hundred fifty-six million, seven hundred fourteen thousand, nine hundred seventy".