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104283688694976 = 26327297039126703
BaseRepresentation
bin10111101101100001110000…
…001110000111010011000000
3111200020102102120100002221200
4113231201300032013103000
5102132040443301214401
61005443133142021200
730652151010234630
oct2755416016072300
9450212376302850
10104283688694976
113025651166416a
12b842a64417800
134625ba965b6ab
141ba7500c486c0
15c0c9d0e4e686
hex5ed8703874c0

104283688694976 has 336 divisors, whose sum is σ = 353444558438400. Its totient is φ = 28763600173056.

The previous prime is 104283688694963. The next prime is 104283688695001. The reversal of 104283688694976 is 679496886382401.

104283688694976 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 8 + 3 + 68 + 8 + 69 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 104283688694895 and 104283688694904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822992841 + ... + 823119543.

Almost surely, 2104283688694976 is an apocalyptic number.

104283688694976 is a gapful number since it is divisible by the number (16) 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 104283688694976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176722279219200).

104283688694976 is an abundant number, since it is smaller than the sum of its proper divisors (249160869743424).

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

104283688694976 is a wasteful number, since it uses less digits than its factorization.

104283688694976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133796 (or 133783 counting only the distinct ones).

The product of its (nonzero) digits is 6019743744, while the sum is 81.

The spelling of 104283688694976 in words is "one hundred four trillion, two hundred eighty-three billion, six hundred eighty-eight million, six hundred ninety-four thousand, nine hundred seventy-six".