Search a number
-
+
104823143995392 = 211357915117657
BaseRepresentation
bin10111110101011000001010…
…010000110001100000000000
3111202010222212010122202100000
4113311120022100301200000
5102214410244330323032
61010535030525200000
731036136140520544
oct2765301220614000
9452128763582300
10104823143995392
1130444278062859
12b90b516a00000
134664a1aa55c74
141bc5678169a24
15c1ba55821e7c
hex5f560a431800

104823143995392 has 576 divisors, whose sum is σ = 320059245542400. Its totient is φ = 34268346777600.

The previous prime is 104823143995387. The next prime is 104823143995441. The reversal of 104823143995392 is 293599341328401.

104823143995392 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 2 + 3 + 1 + 4 + 3 + 99 + 539 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 5936625028 + ... + 5936642684.

It is an arithmetic number, because the mean of its divisors is an integer number (555658412400).

Almost surely, 2104823143995392 is an apocalyptic number.

104823143995392 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 104823143995392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160029622771200).

104823143995392 is an abundant number, since it is smaller than the sum of its proper divisors (215236101547008).

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

104823143995392 is an equidigital number, since it uses as much as digits as its factorization.

104823143995392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17924 (or 17892 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 104823143995392 in words is "one hundred four trillion, eight hundred twenty-three billion, one hundred forty-three million, nine hundred ninety-five thousand, three hundred ninety-two".