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104113404032 = 2711173427423
BaseRepresentation
bin110000011110110100…
…1000111100010000000
3100221201211201220210012
41200331221013202000
53201211012412112
6115455023324052
710344012222041
oct1407551074200
9327654656705
10104113404032
1140177336470
1218217450628
139a82a88a21
1450794948c8
152a95411022
hex183da47880

104113404032 has 64 divisors (see below), whose sum is σ = 227577634560. Its totient is φ = 47050613760.

The previous prime is 104113403981. The next prime is 104113404071. The reversal of 104113404032 is 230404311401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 104113403989 and 104113404007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29873 + ... + 457295.

It is an arithmetic number, because the mean of its divisors is an integer number (3555900540).

Almost surely, 2104113404032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104113404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113788817280).

104113404032 is an abundant number, since it is smaller than the sum of its proper divisors (123464230528).

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

104113404032 is a wasteful number, since it uses less digits than its factorization.

104113404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427621 (or 427609 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 104113404032 its reverse (230404311401), we get a palindrome (334517715433).

The spelling of 104113404032 in words is "one hundred four billion, one hundred thirteen million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 173 176 346 352 692 704 1384 1408 1903 2768 3806 5536 7612 11072 15224 22144 30448 60896 121792 243584 427423 854846 1709692 3419384 4701653 6838768 9403306 13677536 18806612 27355072 37613224 54710144 73944179 75226448 147888358 150452896 295776716 300905792 591553432 601811584 813385969 1183106864 1626771938 2366213728 3253543876 4732427456 6507087752 9464854912 13014175504 26028351008 52056702016 104113404032