Search a number
-
+
61382092005 = 3451329472
BaseRepresentation
bin111001001010101010…
…000110010011100101
312212102211020100120000
4321022222012103211
52001202303421010
644110515131513
74302051113313
oct711252062345
9185384210500
1061382092005
1124039655263
12ba908a3b99
135a32ba8800
142d842630b3
1518e3c5b7c0
hexe4aa864e5

61382092005 has 90 divisors (see below), whose sum is σ = 119274199506. Its totient is φ = 30186965952.

The previous prime is 61382091989. The next prime is 61382092021. The reversal of 61382092005 is 50029028316.

It is an interprime number because it is at equal distance from previous prime (61382091989) and next prime (61382092021).

It can be written as a sum of positive squares in 3 ways, for example, as 290566116 + 61091525889 = 17046^2 + 247167^2 .

It is not a de Polignac number, because 61382092005 - 24 = 61382091989 is a prime.

It is a super-2 number, since 2×613820920052 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 89 ways as a sum of consecutive naturals, for example, 64816942 + ... + 64817888.

Almost surely, 261382092005 is an apocalyptic number.

61382092005 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61382092005 is a deficient number, since it is larger than the sum of its proper divisors (57892107501).

61382092005 is an frugal number, since it uses more digits than its factorization.

61382092005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 968 counting only the distinct ones).

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

The spelling of 61382092005 in words is "sixty-one billion, three hundred eighty-two million, ninety-two thousand, five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 169 195 351 405 507 585 845 947 1053 1521 1755 2535 2841 4563 4735 5265 7605 8523 12311 13689 14205 22815 25569 36933 42615 61555 68445 76707 110799 127845 160043 184665 332397 383535 480129 553995 800215 896809 997191 1440387 1661985 2400645 2690427 4321161 4484045 4985955 7201935 8071281 11658517 12963483 13452135 21605805 24213843 34975551 40356405 58292585 64817415 72641529 104926653 121069215 151560721 174877755 314779959 363207645 454682163 524633265 757803605 944339877 1364046489 1573899795 2273410815 4092139467 4721699385 6820232445 12276418401 20460697335 61382092005