Search a number
-
+
2105046657 = 33711137813
BaseRepresentation
bin111110101111000…
…0111011010000001
312102201000110011000
41331132013122001
513302342443112
6544514242213
7103110413160
oct17536073201
95381013130
102105046657
1199027578a
124a8b86369
13277166c4c
1415d8013d7
15c4c127dc
hex7d787681

2105046657 has 16 divisors (see below), whose sum is σ = 3564100480. Its totient is φ = 1202883696.

The previous prime is 2105046649. The next prime is 2105046677. The reversal of 2105046657 is 7566405012.

It is a happy number.

It is not a de Polignac number, because 2105046657 - 23 = 2105046649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2105046617) 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 15 ways as a sum of consecutive naturals, for example, 5568718 + ... + 5569095.

It is an arithmetic number, because the mean of its divisors is an integer number (222756280).

Almost surely, 22105046657 is an apocalyptic number.

2105046657 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2105046657 is a deficient number, since it is larger than the sum of its proper divisors (1459053823).

2105046657 is a wasteful number, since it uses less digits than its factorization.

2105046657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11137829 (or 11137823 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2105046657 is about 45880.7874496504. The cubic root of 2105046657 is about 1281.6041608230.

The spelling of 2105046657 in words is "two billion, one hundred five million, forty-six thousand, six hundred fifty-seven".

Divisors: 1 3 7 9 21 27 63 189 11137813 33413439 77964691 100240317 233894073 300720951 701682219 2105046657