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135434752929 = 32719307368551
BaseRepresentation
bin111111000100010001…
…0100101001110100001
3110221120200101022002100
41332020202211032201
54204332244043204
6142115020441013
712533125256040
oct1761042451641
9427520338070
10135434752929
115248a429483
12222b89a9169
13ca04b22178
1467ab1ba557
1537ca045a39
hex1f888a53a1

135434752929 has 48 divisors (see below), whose sum is σ = 236109153280. Its totient is φ = 73079042400.

The previous prime is 135434752927. The next prime is 135434752951. The reversal of 135434752929 is 929257434531.

It is a happy number.

135434752929 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 347 + 5 + 292 + 9 = 666.

It is not a de Polignac number, because 135434752929 - 21 = 135434752927 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135434752927) 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, 183204 + ... + 551754.

Almost surely, 2135434752929 is an apocalyptic number.

135434752929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

135434752929 is a deficient number, since it is larger than the sum of its proper divisors (100674400351).

135434752929 is a wasteful number, since it uses less digits than its factorization.

135434752929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368890 (or 368887 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 135434752929 in words is "one hundred thirty-five billion, four hundred thirty-four million, seven hundred fifty-two thousand, nine hundred twenty-nine".

Divisors: 1 3 7 9 19 21 57 63 133 171 307 399 921 1197 2149 2763 5833 6447 17499 19341 40831 52497 122493 367479 368551 1105653 2579857 3316959 7002469 7739571 21007407 23218713 49017283 63022221 113145157 147051849 339435471 441155547 792016099 1018306413 2149757983 2376048297 6449273949 7128144891 15048305881 19347821847 45144917643 135434752929