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4102688493 = 322941383393
BaseRepresentation
bin1111010010001010…
…0000111011101101
3101120220221011120200
43310202200323231
531400242012433
61515034504113
7203445163641
oct36442407355
911526834520
104102688493
111815951652
12965b95039
13504c96b37
142acc44c21
151902ab613
hexf48a0eed

4102688493 has 24 divisors (see below), whose sum is σ = 6279993720. Its totient is φ = 2576394240.

The previous prime is 4102688477. The next prime is 4102688507. The reversal of 4102688493 is 3948862014.

It is a happy number.

4102688493 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 717543369 + 3385145124 = 26787^2 + 58182^2 .

It is not a de Polignac number, because 4102688493 - 24 = 4102688477 is a prime.

It is a super-2 number, since 2×41026884932 = 33664105741189222098, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102688393) 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, 180996 + ... + 202397.

It is an arithmetic number, because the mean of its divisors is an integer number (261666405).

Almost surely, 24102688493 is an apocalyptic number.

It is an amenable number.

4102688493 is a deficient number, since it is larger than the sum of its proper divisors (2177305227).

4102688493 is a wasteful number, since it uses less digits than its factorization.

4102688493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383469 (or 383466 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4102688493 is about 64052.2325372036. The cubic root of 4102688493 is about 1600.8704239166.

The spelling of 4102688493 in words is "four billion, one hundred two million, six hundred eighty-eight thousand, four hundred ninety-three".

Divisors: 1 3 9 29 41 87 123 261 369 1189 3567 10701 383393 1150179 3450537 11118397 15719113 33355191 47157339 100065573 141472017 455854277 1367562831 4102688493