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103706442648 = 23324397345329
BaseRepresentation
bin110000010010101100…
…0101011101110011000
3100220200110222010201100
41200211120223232120
53144342322131043
6115350404551400
710330641134514
oct1404530535630
9326613863640
10103706442648
113aa88646346
12181230b2560
139a1967a983
14503b3db144
152a6e824cd3
hex182562bb98

103706442648 has 96 divisors (see below), whose sum is σ = 290367277200. Its totient is φ = 33416699904.

The previous prime is 103706442647. The next prime is 103706442661. The reversal of 103706442648 is 846244607301.

103706442648 is a `hidden beast` number, since 10 + 370 + 6 + 4 + 4 + 264 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103706442647) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 127648 + ... + 472976.

Almost surely, 2103706442648 is an apocalyptic number.

103706442648 is a gapful number since it is divisible by the number (18) 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 103706442648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145183638600).

103706442648 is an abundant number, since it is smaller than the sum of its proper divisors (186660834552).

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

103706442648 is a wasteful number, since it uses less digits than its factorization.

103706442648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345481 (or 345474 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 103706442648 in words is "one hundred three billion, seven hundred six million, four hundred forty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 97 129 172 194 258 291 344 387 388 516 582 774 776 873 1032 1164 1548 1746 2328 3096 3492 4171 6984 8342 12513 16684 25026 33368 37539 50052 75078 100104 150156 300312 345329 690658 1035987 1381316 2071974 2762632 3107961 4143948 6215922 8287896 12431844 14849147 24863688 29698294 33496913 44547441 59396588 66993826 89094882 100490739 118793176 133642323 133987652 178189764 200981478 267284646 267975304 301472217 356379528 401962956 534569292 602944434 803925912 1069138584 1205888868 1440367259 2411777736 2880734518 4321101777 5761469036 8642203554 11522938072 12963305331 17284407108 25926610662 34568814216 51853221324 103706442648