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107003440706777 = 3121311861456727
BaseRepresentation
bin11000010101000110101110…
…000100101011010011011001
3112000212102120202120112001022
4120111012232010223103121
5103011121021310104102
61015324411350332225
731352513004010526
oct3025065604532331
9460772522515038
10107003440706777
11311049a478343a
1210001b9795a075
1347924c554a834
141c5cdcbdb014d
15c586120b75a2
hex6151ae12b4d9

107003440706777 has 24 divisors (see below), whose sum is σ = 111470639708736. Its totient is φ = 102705802524000.

The previous prime is 107003440706753. The next prime is 107003440706791. The reversal of 107003440706777 is 777607044300701.

It is not a de Polignac number, because 107003440706777 - 28 = 107003440706521 is a prime.

It is a super-2 number, since 2×1070034407067772 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107003440709777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234054788 + ... + 234511514.

It is an arithmetic number, because the mean of its divisors is an integer number (4644609987864).

Almost surely, 2107003440706777 is an apocalyptic number.

It is an amenable number.

107003440706777 is a deficient number, since it is larger than the sum of its proper divisors (4467199001959).

107003440706777 is a wasteful number, since it uses less digits than its factorization.

107003440706777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458781 (or 458750 counting only the distinct ones).

The product of its (nonzero) digits is 4840416, while the sum is 53.

The spelling of 107003440706777 in words is "one hundred seven trillion, three billion, four hundred forty million, seven hundred six thousand, seven hundred seventy-seven".

Divisors: 1 31 131 961 1861 4061 57691 125891 243791 456727 1788421 7557521 14158537 59831237 234283151 438914647 849968947 1854768347 26349037357 57497818757 111345932057 816820158067 3451723893767 107003440706777