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104107414733 = 722124641117
BaseRepresentation
bin110000011110101001…
…0010001010011001101
3100221201102110122000022
41200331102101103031
53201202444232413
6115454251111525
710343610265400
oct1407522212315
9327642418008
10104107414733
1140173a15633
12182154425a5
139a8176c86a
145078775d37
152a94b2b608
hex183d4914cd

104107414733 has 6 divisors (see below), whose sum is σ = 121104543726. Its totient is φ = 89234926872.

The previous prime is 104107414711. The next prime is 104107414739. The reversal of 104107414733 is 337414701401.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 57560646724 + 46546768009 = 239918^2 + 215747^2 .

It is not a de Polignac number, because 104107414733 - 230 = 103033672909 is a prime.

It is a super-2 number, since 2×1041074147332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104107414693 and 104107414702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104107414739) 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 5 ways as a sum of consecutive naturals, for example, 1062320510 + ... + 1062320607.

It is an arithmetic number, because the mean of its divisors is an integer number (20184090621).

Almost surely, 2104107414733 is an apocalyptic number.

It is an amenable number.

104107414733 is a deficient number, since it is larger than the sum of its proper divisors (16997128993).

104107414733 is an equidigital number, since it uses as much as digits as its factorization.

104107414733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124641131 (or 2124641124 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 104107414733 in words is "one hundred four billion, one hundred seven million, four hundred fourteen thousand, seven hundred thirty-three".

Divisors: 1 7 49 2124641117 14872487819 104107414733