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104442348186 = 23511193141809
BaseRepresentation
bin110000101000100111…
…1111100001010011010
3100222120202201000100000
41201101033330022122
53202344220120221
6115551413553430
710355115211641
oct1412117741232
9328522630300
10104442348186
1140325a8a040
12182a9645876
139b05c7c037
1450ab040358
152ab423ae26
hex18513fc29a

104442348186 has 384 divisors, whose sum is σ = 285310771200. Its totient is φ = 28273536000.

The previous prime is 104442348173. The next prime is 104442348233. The reversal of 104442348186 is 681843244401.

104442348186 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 423 + 48 + 186 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129100150 + ... + 129100958.

It is an arithmetic number, because the mean of its divisors is an integer number (742996800).

Almost surely, 2104442348186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104442348186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142655385600).

104442348186 is an abundant number, since it is smaller than the sum of its proper divisors (180868423014).

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

104442348186 is a wasteful number, since it uses less digits than its factorization.

104442348186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 104442348186 in words is "one hundred four billion, four hundred forty-two million, three hundred forty-eight thousand, one hundred eighty-six".