Search a number
-
+
104335786368 = 273711311093
BaseRepresentation
bin110000100101011100…
…1011100000110000000
3100222022100012010000000
41201022321130012000
53202134430130433
6115533050000000
710352352360042
oct1411271340600
9328270163000
10104335786368
1140280916620
1218279a16000
139ab9b7b8c8
14509ac21a92
152aa9bdc113
hex184ae5c180

104335786368 has 512 divisors, whose sum is σ = 351368294400. Its totient is φ = 30569011200.

The previous prime is 104335786367. The next prime is 104335786369. The reversal of 104335786368 is 863687533401.

104335786368 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 3 + 578 + 6 + 3 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (104335786367) and next prime (104335786369).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104335786367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95457630 + ... + 95458722.

It is an arithmetic number, because the mean of its divisors is an integer number (686266200).

Almost surely, 2104335786368 is an apocalyptic number.

104335786368 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 104335786368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175684147200).

104335786368 is an abundant number, since it is smaller than the sum of its proper divisors (247032508032).

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

104335786368 is an equidigital number, since it uses as much as digits as its factorization.

104335786368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 104335786368 in words is "one hundred four billion, three hundred thirty-five million, seven hundred eighty-six thousand, three hundred sixty-eight".