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104481575400 = 233523135315913
BaseRepresentation
bin110000101001110010…
…1100101000111101000
3100222200111111221221210
41201103211211013220
53202434240403100
6115555334433120
710356102510666
oct1412345450750
9328614457853
10104481575400
1140346142024
12182ba8027a0
139b11134bc7
1450b2331c36
152ab78d8c50
hex18539651e8

104481575400 has 192 divisors, whose sum is σ = 335309253120. Its totient is φ = 26884915200.

The previous prime is 104481575399. The next prime is 104481575461. The reversal of 104481575400 is 4575184401.

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, 6557844 + ... + 6573756.

It is an arithmetic number, because the mean of its divisors is an integer number (1746402360).

Almost surely, 2104481575400 is an apocalyptic number.

104481575400 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 104481575400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167654626560).

104481575400 is an abundant number, since it is smaller than the sum of its proper divisors (230827677720).

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

104481575400 is a wasteful number, since it uses less digits than its factorization.

104481575400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16316 (or 16307 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 104481575400 in words is "one hundred four billion, four hundred eighty-one million, five hundred seventy-five thousand, four hundred".