Search a number
-
+
196495695728640 = 2123357311194957
BaseRepresentation
bin101100101011011000111000…
…001001001101000000000000
3221202201210201212220102121000
4230223120320021031000000
5201223341141101304030
61533524513151132000
756250226342425000
oct5453307011150000
9852653655812530
10196495695728640
11576783a1674420
121a056222b14000
1385846069577a9
143674629dcc000
1517ab485ddc860
hexb2b63824d000

196495695728640 has 3328 divisors, whose sum is σ = 935676933120000. Its totient is φ = 38673509253120.

The previous prime is 196495695728639. The next prime is 196495695728671. The reversal of 196495695728640 is 46827596594691.

196495695728640 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 9 + 569 + 5 + 7 + 2 + 8 + 6 + 40 = 666.

It is a super-2 number, since 2×1964956957286402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 196495695728640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39640041042 + ... + 39640045998.

Almost surely, 2196495695728640 is an apocalyptic number.

196495695728640 is a gapful number since it is divisible by the number (10) 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 196495695728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467838466560000).

196495695728640 is an abundant number, since it is smaller than the sum of its proper divisors (739181237391360).

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

196495695728640 is a wasteful number, since it uses less digits than its factorization.

196495695728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 7054387200, while the sum is 81.

The spelling of 196495695728640 in words is "one hundred ninety-six trillion, four hundred ninety-five billion, six hundred ninety-five million, seven hundred twenty-eight thousand, six hundred forty".