Search a number
-
+
19782007065 = 3251572800001
BaseRepresentation
bin10010011011000110…
…010111100100011001
31220001122100002011100
4102123012113210121
5311003143211230
613030541022013
71300134166662
oct223306274431
956048302140
1019782007065
118431477777
123a00b54909
131b33490932
14d5937c369
157aba5a660
hex49b197919

19782007065 has 24 divisors (see below), whose sum is σ = 34507224648. Its totient is φ = 10483200000.

The previous prime is 19782007031. The next prime is 19782007081. The reversal of 19782007065 is 56070028791.

It can be written as a sum of positive squares in 4 ways, for example, as 1430428041 + 18351579024 = 37821^2 + 135468^2 .

It is not a de Polignac number, because 19782007065 - 214 = 19781990681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 19782007065.

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 23 ways as a sum of consecutive naturals, for example, 1392936 + ... + 1407065.

It is an arithmetic number, because the mean of its divisors is an integer number (1437801027).

Almost surely, 219782007065 is an apocalyptic number.

19782007065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19782007065 is a deficient number, since it is larger than the sum of its proper divisors (14725217583).

19782007065 is a wasteful number, since it uses less digits than its factorization.

19782007065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800169 (or 2800166 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 19782007065 in words is "nineteen billion, seven hundred eighty-two million, seven thousand, sixty-five".

Divisors: 1 3 5 9 15 45 157 471 785 1413 2355 7065 2800001 8400003 14000005 25200009 42000015 126000045 439600157 1318800471 2198000785 3956401413 6594002355 19782007065