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103707746136 = 233267239293307
BaseRepresentation
bin110000010010101110…
…1101001111101011000
3100220200120102100202200
41200211131221331120
53144343140334021
6115350452530200
710330655204001
oct1404535517530
9326616370680
10103707746136
113aa89356705
1218123620960
139a19a16077
14503b65a1a8
152a6e9d1126
hex1825769f58

103707746136 has 192 divisors, whose sum is σ = 288172684800. Its totient is φ = 33684989184.

The previous prime is 103707746099. The next prime is 103707746209. The reversal of 103707746136 is 631647707301.

It is a junction number, because it is equal to n+sod(n) for n = 103707746091 and 103707746100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337810095 + ... + 337810401.

It is an arithmetic number, because the mean of its divisors is an integer number (1500899400).

Almost surely, 2103707746136 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 103707746136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144086342400).

103707746136 is an abundant number, since it is smaller than the sum of its proper divisors (184464938664).

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

103707746136 is a wasteful number, since it uses less digits than its factorization.

103707746136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 103707746136 in words is "one hundred three billion, seven hundred seven million, seven hundred forty-six thousand, one hundred thirty-six".