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135423332505 = 3253009407389
BaseRepresentation
bin111111000011111011…
…1000001000010011001
3110221112212220002012200
41332013313001002121
54204321333120010
6142113532000413
712532626222246
oct1760767010231
9427485802180
10135423332505
1152483a3910a
12222b5000109
13ca02653c16
1467a98865cd
1537c903bcc0
hex1f87dc1099

135423332505 has 12 divisors (see below), whose sum is σ = 234733776420. Its totient is φ = 72225777312.

The previous prime is 135423332497. The next prime is 135423332519. The reversal of 135423332505 is 505233324531.

135423332505 is a `hidden beast` number, since 1 + 3 + 542 + 33 + 32 + 50 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108170605449 + 27252727056 = 328893^2 + 165084^2 .

It is not a de Polignac number, because 135423332505 - 23 = 135423332497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135423332505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1504703650 + ... + 1504703739.

It is an arithmetic number, because the mean of its divisors is an integer number (19561148035).

Almost surely, 2135423332505 is an apocalyptic number.

135423332505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135423332505 is a deficient number, since it is larger than the sum of its proper divisors (99310443915).

135423332505 is a wasteful number, since it uses less digits than its factorization.

135423332505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009407400 (or 3009407397 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 135423332505 in words is "one hundred thirty-five billion, four hundred twenty-three million, three hundred thirty-two thousand, five hundred five".

Divisors: 1 3 5 9 15 45 3009407389 9028222167 15047036945 27084666501 45141110835 135423332505