Search a number
-
+
136461484044735 = 35232632935132957
BaseRepresentation
bin11111000001110001101010…
…010010000011000110111111
3122220011120221110012022001220
4133001301222102003012333
5120341241104403412420
61202121312413404423
740513005533654463
oct3701615222030677
9586146843168056
10136461484044735
113a531a99221893
121337b196a99713
135b1b3552a7375
14259aab1b524a3
1510b9a22ac4840
hex7c1c6a4831bf

136461484044735 has 64 divisors (see below), whose sum is σ = 229478208841728. Its totient is φ = 69113733185024.

The previous prime is 136461484044731. The next prime is 136461484044737. The reversal of 136461484044735 is 537440484164631.

It is a happy number.

It is not a de Polignac number, because 136461484044735 - 22 = 136461484044731 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136461484044731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24018877 + ... + 29151833.

It is an arithmetic number, because the mean of its divisors is an integer number (3585597013152).

Almost surely, 2136461484044735 is an apocalyptic number.

136461484044735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

136461484044735 is a deficient number, since it is larger than the sum of its proper divisors (93016724796993).

136461484044735 is a wasteful number, since it uses less digits than its factorization.

136461484044735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133544.

The product of its (nonzero) digits is 92897280, while the sum is 60.

The spelling of 136461484044735 in words is "one hundred thirty-six trillion, four hundred sixty-one billion, four hundred eighty-four million, forty-four thousand, seven hundred thirty-five".

Divisors: 1 3 5 15 23 69 115 263 293 345 789 879 1315 1465 3945 4395 6049 6739 18147 20217 30245 33695 77059 90735 101085 231177 385295 1155885 1772357 5132957 5317071 8861785 15398871 25664785 26585355 76994355 118058011 354174033 590290055 1349967691 1503956401 1770870165 4049903073 4511869203 6749838455 7519782005 20249515365 22559346015 31049256893 34590997223 93147770679 103772991669 155246284465 172954986115 395540533463 465738853395 518864958345 1186621600389 1977702667315 5933108001945 9097432269649 27292296808947 45487161348245 136461484044735