Search a number
-
+
1609661969 = 192347109719
BaseRepresentation
bin101111111110001…
…0111111000010001
311011011212022002222
41133330113320101
511244033140334
6423420350425
754613621016
oct13774277021
94134768088
101609661969
11756680953
1238b0a5415
131c8639806
14113acb70d
15964abd2e
hex5ff17e11

1609661969 has 32 divisors (see below), whose sum is σ = 1824768000. Its totient is φ = 1412541504.

The previous prime is 1609661959. The next prime is 1609662029. The reversal of 1609661969 is 9691669061.

It is not a de Polignac number, because 1609661969 - 224 = 1592884753 is a prime.

It is a super-2 number, since 2×16096619692 = 5182023308889913922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1609661969.

It is not an unprimeable number, because it can be changed into a prime (1609661959) 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 31 ways as a sum of consecutive naturals, for example, 2238392 + ... + 2239110.

It is an arithmetic number, because the mean of its divisors is an integer number (57024000).

Almost surely, 21609661969 is an apocalyptic number.

1609661969 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1609661969 is a deficient number, since it is larger than the sum of its proper divisors (215106031).

1609661969 is a wasteful number, since it uses less digits than its factorization.

1609661969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917.

The product of its (nonzero) digits is 944784, while the sum is 53.

The square root of 1609661969 is about 40120.5928296181. The cubic root of 1609661969 is about 1171.9566861592.

The spelling of 1609661969 in words is "one billion, six hundred nine million, six hundred sixty-one thousand, nine hundred sixty-nine".

Divisors: 1 19 23 47 109 437 719 893 1081 2071 2507 5123 13661 16537 20539 33793 47633 78371 97337 117829 314203 642067 777239 1489049 1802533 2238751 3683437 14767541 34248127 69985303 84719051 1609661969