Search a number
-
+
196416493056 = 29347676589
BaseRepresentation
bin1011011011101101010…
…1011101011000000000
3200202222121021200010000
42312323111131120000
511204230110234211
6230122115040000
720122245433620
oct2667325353000
9622877250100
10196416493056
1176332a98413
12320975a0000
13156a2a95174
1497141c6880
155198a6e656
hex2dbb55d600

196416493056 has 200 divisors, whose sum is σ = 670002719760. Its totient is φ = 56118915072.

The previous prime is 196416493037. The next prime is 196416493061. The reversal of 196416493056 is 650394614691.

It is a happy number.

196416493056 is a `hidden beast` number, since 1 + 96 + 4 + 16 + 493 + 0 + 56 = 666.

196416493056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 196416492993 and 196416493011.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 47991 + ... + 628598.

Almost surely, 2196416493056 is an apocalyptic number.

196416493056 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 196416493056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335001359880).

196416493056 is an abundant number, since it is smaller than the sum of its proper divisors (473586226704).

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

196416493056 is an frugal number, since it uses more digits than its factorization.

196416493056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676626 (or 676601 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 196416493056 in words is "one hundred ninety-six billion, four hundred sixteen million, four hundred ninety-three thousand, fifty-six".