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104742351000 = 233253721092179
BaseRepresentation
bin110000110001100100…
…0010111000010011000
3101000100200012201211100
41201203020113002120
53204003020213000
6120041252031400
710365420202500
oct1414310270230
9330320181740
10104742351000
114046a365651
1218372002560
139b5317b1b1
1450d8c14a00
152ad074aa00
hex1863217098

104742351000 has 576 divisors, whose sum is σ = 415798812000. Its totient is φ = 23710579200.

The previous prime is 104742350959. The next prime is 104742351001. The reversal of 104742351000 is 153247401.

104742351000 is a `hidden beast` number, since 104 + 7 + 42 + 3 + 510 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104742351001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48067911 + ... + 48070089.

Almost surely, 2104742351000 is an apocalyptic number.

104742351000 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 104742351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207899406000).

104742351000 is an abundant number, since it is smaller than the sum of its proper divisors (311056461000).

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

104742351000 is a wasteful number, since it uses less digits than its factorization.

104742351000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 104742351000 its reverse (153247401), we get a palindrome (104895598401).

The spelling of 104742351000 in words is "one hundred four billion, seven hundred forty-two million, three hundred fifty-one thousand".