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135426607353 = 321272693371307
BaseRepresentation
bin111111000100000001…
…1100000100011111001
3110221120010001110110100
41332020003200203321
54204323202413403
6142114130110013
712532666112022
oct1761003404371
9427503043410
10135426607353
11524858755a4
12222b611b309
13ca0322c6bb
1467aa099c49
1537c94872a3
hex1f880e08f9

135426607353 has 48 divisors (see below), whose sum is σ = 198628485120. Its totient is φ = 88907632128.

The previous prime is 135426607313. The next prime is 135426607361. The reversal of 135426607353 is 353706624531.

It is a happy number.

135426607353 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 2 + 6 + 607 + 35 + 3 = 666.

It is not a de Polignac number, because 135426607353 - 217 = 135426476281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135426607299 and 135426607308.

It is not an unprimeable number, because it can be changed into a prime (135426607313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103615726 + ... + 103617032.

It is an arithmetic number, because the mean of its divisors is an integer number (4138093440).

Almost surely, 2135426607353 is an apocalyptic number.

It is an amenable number.

135426607353 is a deficient number, since it is larger than the sum of its proper divisors (63201877767).

135426607353 is a wasteful number, since it uses less digits than its factorization.

135426607353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 135426607353 in words is "one hundred thirty-five billion, four hundred twenty-six million, six hundred seven thousand, three hundred fifty-three".

Divisors: 1 3 9 127 269 337 381 807 1011 1143 1307 2421 3033 3921 11763 34163 42799 90653 102489 128397 165989 271959 307467 351583 385191 440459 497967 815877 1054749 1321377 1493901 3164247 3964131 11512931 34538793 44651041 55938293 103616379 118483471 133953123 167814879 355450413 401859369 503444637 1066351239 15047400817 45142202451 135426607353