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135820035045 = 32523159782171
BaseRepresentation
bin111111001111110000…
…0010100001111100101
3110222120112100122210100
41332133200110033211
54211124412110140
6142221142414313
712545514151362
oct1763740241745
9428515318710
10135820035045
1152667961652
12223a5a31399
13ca668ac656
14680642d469
1537edc9d530
hex1f9f8143e5

135820035045 has 48 divisors (see below), whose sum is σ = 245813922432. Its totient is φ = 69243672960.

The previous prime is 135820035023. The next prime is 135820035047. The reversal of 135820035045 is 540530028531.

135820035045 is a `hidden beast` number, since 1 + 3 + 582 + 0 + 0 + 35 + 0 + 45 = 666.

It is not a de Polignac number, because 135820035045 - 215 = 135820002277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135820035047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1611810 + ... + 1693980.

It is an arithmetic number, because the mean of its divisors is an integer number (5121123384).

Almost surely, 2135820035045 is an apocalyptic number.

135820035045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135820035045 is a deficient number, since it is larger than the sum of its proper divisors (109993887387).

135820035045 is a wasteful number, since it uses less digits than its factorization.

135820035045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83802 (or 83799 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 135820035045 in words is "one hundred thirty-five billion, eight hundred twenty million, thirty-five thousand, forty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 1597 4791 7985 14373 23955 36731 71865 82171 110193 183655 246513 330579 410855 550965 739539 1232565 1652895 1889933 3697695 5669799 9449665 17009397 28348995 85046985 131227087 393681261 656135435 1181043783 1968406305 3018223001 5905218915 9054669003 15091115005 27164007009 45273345015 135820035045