Search a number
-
+
2104575957 = 321131685753
BaseRepresentation
bin111110101110001…
…0100011111010101
312102200010112110200
41331130110133111
513302232412312
6544500211113
7103103412651
oct17534243725
95380115420
102104575957
1198aa84080
124a8999a99
13277030923
1415d71ba61
15c4b6d0dc
hex7d7147d5

2104575957 has 24 divisors (see below), whose sum is σ = 3423283968. Its totient is φ = 1234353600.

The previous prime is 2104575931. The next prime is 2104575959. The reversal of 2104575957 is 7595754012.

2104575957 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 57 + 595 + 7 = 666.

It is not a de Polignac number, because 2104575957 - 219 = 2104051669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104575959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339808 + ... + 345945.

It is an arithmetic number, because the mean of its divisors is an integer number (142636832).

Almost surely, 22104575957 is an apocalyptic number.

It is an amenable number.

2104575957 is a deficient number, since it is larger than the sum of its proper divisors (1318708011).

2104575957 is a wasteful number, since it uses less digits than its factorization.

2104575957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685801 (or 685798 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The square root of 2104575957 is about 45875.6575647696. The cubic root of 2104575957 is about 1281.5086291245.

The spelling of 2104575957 in words is "two billion, one hundred four million, five hundred seventy-five thousand, nine hundred fifty-seven".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 685753 2057259 6171777 7543283 21258343 22629849 63775029 67889547 191325087 233841773 701525319 2104575957