Search a number
-
+
195069690208512 = 2838731971251
BaseRepresentation
bin101100010110101000110011…
…100101110110000100000000
3221120200110222002221100000000
4230112220303211312010000
5201032010211143133022
61530513440100000000
756042214525462000
oct5426506345660400
9846613862840000
10195069690208512
1157178655736a39
1219a65990690000
1384accba3c67b2
1436255cda92000
151784324b886ac
hexb16a33976100

195069690208512 has 2592 divisors, whose sum is σ = 729933265152000. Its totient is φ = 51849745920000.

The previous prime is 195069690208511. The next prime is 195069690208579. The reversal of 195069690208512 is 215802096960591.

195069690208512 is a `hidden beast` number, since 1 + 9 + 5 + 0 + 6 + 9 + 6 + 90 + 20 + 8 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 195069690208512.

It is not an unprimeable number, because it can be changed into a prime (195069690208511) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 777170080387 + ... + 777170080637.

It is an arithmetic number, because the mean of its divisors is an integer number (281610056000).

Almost surely, 2195069690208512 is an apocalyptic number.

195069690208512 is a gapful number since it is divisible by the number (12) 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 195069690208512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364966632576000).

195069690208512 is an abundant number, since it is smaller than the sum of its proper divisors (534863574943488).

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

195069690208512 is an frugal number, since it uses more digits than its factorization.

195069690208512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 195069690208512 in words is "one hundred ninety-five trillion, sixty-nine billion, six hundred ninety million, two hundred eight thousand, five hundred twelve".