Search a number
-
+
19156407075 = 325213171912017
BaseRepresentation
bin10001110101110011…
…111001001100100011
31211110001011022022100
4101311303321030203
5303213020011300
612444512141443
71245466526211
oct216563711443
954401138270
1019156407075
118140324193
123867537883
131a639a0a20
14cda24dcb1
15771b82700
hex475cf9323

19156407075 has 144 divisors (see below), whose sum is σ = 39348481536. Its totient is φ = 8825241600.

The previous prime is 19156407071. The next prime is 19156407103. The reversal of 19156407075 is 57070465191.

19156407075 is a `hidden beast` number, since 19 + 1 + 564 + 0 + 7 + 0 + 75 = 666.

It is not a de Polignac number, because 19156407075 - 22 = 19156407071 is a prime.

It is a super-2 number, since 2×191564070752 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19156407075.

It is not an unprimeable number, because it can be changed into a prime (19156407071) 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 143 ways as a sum of consecutive naturals, for example, 9496467 + ... + 9498483.

It is an arithmetic number, because the mean of its divisors is an integer number (273253344).

Almost surely, 219156407075 is an apocalyptic number.

19156407075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19156407075 is an abundant number, since it is smaller than the sum of its proper divisors (20192074461).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19156407075 is a wasteful number, since it uses less digits than its factorization.

19156407075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 19156407075 in words is "nineteen billion, one hundred fifty-six million, four hundred seven thousand, seventy-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 191 195 221 225 255 325 425 573 585 663 765 955 975 1105 1275 1719 1989 2017 2483 2865 2925 3247 3315 3825 4775 5525 6051 7449 8595 9741 9945 10085 12415 14325 16235 16575 18153 22347 26221 29223 30255 34289 37245 42211 42975 48705 49725 50425 62075 78663 81175 90765 102867 111735 126633 131105 146115 151275 171445 186225 211055 235989 243525 308601 379899 385247 393315 445757 453825 514335 558675 633165 655525 730575 857225 1055275 1155741 1179945 1337271 1543005 1899495 1926235 1966575 2228785 2571675 3165825 3467223 4011813 5008211 5778705 5899725 6549199 6686355 7715025 9497475 9631175 11143925 15024633 17336115 19647597 20059065 25041055 28893525 32745995 33431775 45073899 58942791 75123165 85139587 86680575 98237985 100295325 125205275 163729975 225369495 255418761 294713955 375615825 425697935 491189925 766256283 1126847475 1277093805 1473569775 2128489675 3831281415 6385469025 19156407075