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4104664014 = 2311616715217
BaseRepresentation
bin1111010010101000…
…0011001111001110
3101121001122112111010
43310222003033032
531401243222024
61515145110050
7203501032323
oct36452031716
911531575433
104104664014
111816a80910
12966788326
13505509099
142ad1dab4a
1519054bb29
hexf4a833ce

4104664014 has 64 divisors (see below), whose sum is σ = 9238908672. Its totient is φ = 1205107200.

The previous prime is 4104663967. The next prime is 4104664033.

4104664014 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 262134 + ... + 277350.

It is an arithmetic number, because the mean of its divisors is an integer number (144357948).

Almost surely, 24104664014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104664014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619454336).

4104664014 is an abundant number, since it is smaller than the sum of its proper divisors (5134244658).

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

4104664014 is a wasteful number, since it uses less digits than its factorization.

4104664014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15361.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4104664014 is about 64067.6518533339. The cubic root of 4104664014 is about 1601.1273323375.

The spelling of 4104664014 in words is "four billion, one hundred four million, six hundred sixty-four thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 61 66 67 122 134 183 201 366 402 671 737 1342 1474 2013 2211 4026 4087 4422 8174 12261 15217 24522 30434 44957 45651 89914 91302 134871 167387 269742 334774 502161 928237 1004322 1019539 1856474 2039078 2784711 3058617 5569422 6117234 10210607 11214929 20421214 22429858 30631821 33644787 61263642 62191879 67289574 124383758 186575637 373151274 684110669 1368221338 2052332007 4104664014