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132805400348543 = 13231735774449617
BaseRepresentation
bin11110001100100100101010…
…101101100100011101111111
3122102020001221200201000020112
4132030210222231210131333
5114401340424442123133
61150241543023340235
736654605424212126
oct3614445255443577
9572201850630215
10132805400348543
11393524aa2a357a
1212a8a6aba5167b
135914659858920
1424b1b5c2caabd
15105488ea01648
hex78c92ab6477f

132805400348543 has 32 divisors (see below), whose sum is σ = 150362345782656. Its totient is φ = 116379742076928.

The previous prime is 132805400348513. The next prime is 132805400348557. The reversal of 132805400348543 is 345843004508231.

It is a cyclic number.

It is not a de Polignac number, because 132805400348543 - 222 = 132805396154239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132805400348491 and 132805400348500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132805400348503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27621671 + ... + 32071287.

It is an arithmetic number, because the mean of its divisors is an integer number (4698823305708).

Almost surely, 2132805400348543 is an apocalyptic number.

132805400348543 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132805400348543 is a deficient number, since it is larger than the sum of its proper divisors (17556945434113).

132805400348543 is a wasteful number, since it uses less digits than its factorization.

132805400348543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450403.

The product of its (nonzero) digits is 5529600, while the sum is 50.

The spelling of 132805400348543 in words is "one hundred thirty-two trillion, eight hundred five billion, four hundred million, three hundred forty-eight thousand, five hundred forty-three".

Divisors: 1 13 23 173 299 577 2249 3979 7501 13271 51727 99821 172523 1297673 2295883 4449617 29846479 57845021 102341191 769783741 1330435483 2567429009 10007188633 17705026043 33376577117 59050867207 230165338559 444165218557 767661273691 5774147841241 10215800026811 132805400348543