Search a number
-
+
64196145 = 3451389137
BaseRepresentation
bin1111010011100…
…0111000110001
311110210111120000
43310320320301
5112413234040
610211540213
71406441526
oct364707061
9143714500
1064196145
1133267572
12195ba669
13103b8bb0
14875114d
155981130
hex3d38e31

64196145 has 80 divisors (see below), whose sum is σ = 126236880. Its totient is φ = 31021056.

The previous prime is 64196137. The next prime is 64196149. The reversal of 64196145 is 54169146.

64196145 is a `hidden beast` number, since 641 + 9 + 6 + 1 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9199089 + 54997056 = 3033^2 + 7416^2 .

It is not a de Polignac number, because 64196145 - 23 = 64196137 is a prime.

It is a super-2 number, since 2×641961452 = 8242290065722050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64196149) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 468517 + ... + 468653.

It is an arithmetic number, because the mean of its divisors is an integer number (1577961).

Almost surely, 264196145 is an apocalyptic number.

64196145 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

64196145 is a deficient number, since it is larger than the sum of its proper divisors (62040735).

64196145 is a wasteful number, since it uses less digits than its factorization.

64196145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 64196145 is about 8012.2496840775. The cubic root of 64196145 is about 400.4082186687.

The spelling of 64196145 in words is "sixty-four million, one hundred ninety-six thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 89 117 135 137 195 267 351 405 411 445 585 685 801 1053 1157 1233 1335 1755 1781 2055 2403 3471 3699 4005 5265 5343 5785 6165 7209 8905 10413 11097 12015 12193 16029 17355 18495 26715 31239 36045 36579 48087 52065 55485 60965 80145 93717 109737 144261 156195 158509 182895 240435 329211 468585 475527 548685 721305 792545 987633 1426581 1646055 2377635 4279743 4938165 7132905 12839229 21398715 64196145