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104505104000 = 2753111015879
BaseRepresentation
bin110000101010011111…
…1010101011010000000
3100222202010210100010102
41201110333111122000
53203011301312000
6120001535021532
710356506504333
oct1412477253200
9328663710112
10104505104000
1140358452450
121830666a8a8
139b15c8245b
1450b54d861a
152ab99d53d5
hex1854fd5680

104505104000 has 256 divisors, whose sum is σ = 286301433600. Its totient is φ = 37619200000.

The previous prime is 104505103993. The next prime is 104505104029. The reversal of 104505104000 is 401505401.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 17773061 + ... + 17778939.

It is an arithmetic number, because the mean of its divisors is an integer number (1118364975).

Almost surely, 2104505104000 is an apocalyptic number.

104505104000 is a gapful number since it is divisible by the number (10) 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 104505104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143150716800).

104505104000 is an abundant number, since it is smaller than the sum of its proper divisors (181796329600).

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

104505104000 is a wasteful number, since it uses less digits than its factorization.

104505104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6020 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 104505104000 its reverse (401505401), we get a palindrome (104906609401).

The spelling of 104505104000 in words is "one hundred four billion, five hundred five million, one hundred four thousand".