Search a number
-
+
191368698048 = 263211223313851
BaseRepresentation
bin1011001000111001110…
…1101001100011000000
3200021221210222010010100
42302032131221203000
511113410341314143
6223525155202400
716553203044243
oct2621635514300
9607853863110
10191368698048
1174182706300
1231108ba6400
131507a070a08
149395a4325a
154ea08266d3
hex2c8e7698c0

191368698048 has 504 divisors, whose sum is σ = 649600293888. Its totient is φ = 53665920000.

The previous prime is 191368698043. The next prime is 191368698089. The reversal of 191368698048 is 840896863191.

191368698048 is a `hidden beast` number, since 191 + 368 + 6 + 9 + 80 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (191368698043) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 49691323 + ... + 49695173.

It is an arithmetic number, because the mean of its divisors is an integer number (1288889472).

Almost surely, 2191368698048 is an apocalyptic number.

191368698048 is a gapful number since it is divisible by the number (18) 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 191368698048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324800146944).

191368698048 is an abundant number, since it is smaller than the sum of its proper divisors (458231595840).

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

191368698048 is a wasteful number, since it uses less digits than its factorization.

191368698048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 191368698048 in words is "one hundred ninety-one billion, three hundred sixty-eight million, six hundred ninety-eight thousand, forty-eight".