Search a number
-
+
196356463632 = 2434733114249
BaseRepresentation
bin1011011011011111000…
…0011101110000010000
3200202211102022212020000
42312313300131300100
511204114223314012
6230112132250000
720120616255000
oct2666760356020
9622742285200
10196356463632
117630211741a
123207b470900
13156935079b4
14970a23c000
155193662ddc
hex2db7c1dc10

196356463632 has 400 divisors, whose sum is σ = 684182400000. Its totient is φ = 54288299520.

The previous prime is 196356463619. The next prime is 196356463637. The reversal of 196356463632 is 236364653691.

196356463632 is a `hidden beast` number, since 1 + 96 + 35 + 6 + 463 + 63 + 2 = 666.

196356463632 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 not an unprimeable number, because it can be changed into a prime (196356463637) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 13773244 + ... + 13787492.

It is an arithmetic number, because the mean of its divisors is an integer number (1710456000).

Almost surely, 2196356463632 is an apocalyptic number.

196356463632 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 196356463632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342091200000).

196356463632 is an abundant number, since it is smaller than the sum of its proper divisors (487825936368).

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

196356463632 is a wasteful number, since it uses less digits than its factorization.

196356463632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14321 (or 14292 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 54.

The spelling of 196356463632 in words is "one hundred ninety-six billion, three hundred fifty-six million, four hundred sixty-three thousand, six hundred thirty-two".