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103643626016 = 2572931579163
BaseRepresentation
bin110000010000110100…
…1000011101000100000
3100220112002202201111102
41200201221003220200
53144230232013031
6115340242333532
710326246166610
oct1404151035040
9326462681442
10103643626016
113aa56141277
121810605a2a8
139a09655978
145032d28a40
152a690677cb
hex1821a43a20

103643626016 has 48 divisors (see below), whose sum is σ = 233994204864. Its totient is φ = 44267069184.

The previous prime is 103643626013. The next prime is 103643626019. The reversal of 103643626016 is 610626346301.

103643626016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103643626013) and next prime (103643626019).

It is not an unprimeable number, because it can be changed into a prime (103643626013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723950 + ... + 855213.

It is an arithmetic number, because the mean of its divisors is an integer number (4874879268).

Almost surely, 2103643626016 is an apocalyptic number.

103643626016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103643626016 is an abundant number, since it is smaller than the sum of its proper divisors (130350578848).

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

103643626016 is a wasteful number, since it uses less digits than its factorization.

103643626016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579473 (or 1579465 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 103643626016 in words is "one hundred three billion, six hundred forty-three million, six hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 293 586 1172 2051 2344 4102 4688 8204 9376 16408 32816 65632 1579163 3158326 6316652 11054141 12633304 22108282 25266608 44216564 50533216 88433128 176866256 353732512 462694759 925389518 1850779036 3238863313 3701558072 6477726626 7403116144 12955453252 14806232288 25910906504 51821813008 103643626016