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135606116466255 = 35292908031071991
BaseRepresentation
bin11110110101010101000010…
…011001101011111001001111
3122210010211002102012011000110
4132311111002121223321033
5120233232311303410010
61200224331225531103
740364134660343031
oct3665250231537117
9583124072164013
10135606116466255
113a23225a556976
121326145a043a93
135a887a9530046
14256b52a273c51
1510a265dac9120
hex7b554266be4f

135606116466255 has 32 divisors (see below), whose sum is σ = 224452484328960. Its totient is φ = 69829051259520.

The previous prime is 135606116466187. The next prime is 135606116466259. The reversal of 135606116466255 is 552664611606531.

It is not a de Polignac number, because 135606116466255 - 223 = 135606108077647 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135606116466195 and 135606116466204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135606116466259) 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, 125963310 + ... + 127035300.

It is an arithmetic number, because the mean of its divisors is an integer number (7014140135280).

Almost surely, 2135606116466255 is an apocalyptic number.

135606116466255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135606116466255 is a deficient number, since it is larger than the sum of its proper divisors (88846367862705).

135606116466255 is a wasteful number, since it uses less digits than its factorization.

135606116466255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362831.

The product of its (nonzero) digits is 23328000, while the sum is 57.

The spelling of 135606116466255 in words is "one hundred thirty-five trillion, six hundred six billion, one hundred sixteen million, four hundred sixty-six thousand, two hundred fifty-five".

Divisors: 1 3 5 15 29 87 145 435 290803 872409 1071991 1454015 3215973 4362045 5359955 8433287 16079865 25299861 31087739 42166435 93263217 126499305 155438695 466316085 311738198773 935214596319 1558690993865 4676072981595 9040407764417 27121223293251 45202038822085 135606116466255