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135292566429 = 32192233547913
BaseRepresentation
bin111111000000000010…
…0001011101110011101
3110221012202211110212200
41332000010023232131
54204034344111204
6142052541122113
712526450561116
oct1760004135635
9427182743780
10135292566429
1152417143679
1222279259339
13c9b152a847
14679636720d
1537bc80b539
hex1f8010bb9d

135292566429 has 24 divisors (see below), whose sum is σ = 206630511360. Its totient is φ = 85064738112.

The previous prime is 135292566407. The next prime is 135292566511. The reversal of 135292566429 is 924665292531.

135292566429 is a `hidden beast` number, since 1 + 3 + 52 + 9 + 2 + 566 + 4 + 29 = 666.

It is not a de Polignac number, because 135292566429 - 29 = 135292565917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135292561429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1735824 + ... + 1812089.

It is an arithmetic number, because the mean of its divisors is an integer number (8609604640).

Almost surely, 2135292566429 is an apocalyptic number.

135292566429 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

135292566429 is a deficient number, since it is larger than the sum of its proper divisors (71337944931).

135292566429 is a wasteful number, since it uses less digits than its factorization.

135292566429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548161 (or 3548158 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 135292566429 in words is "one hundred thirty-five billion, two hundred ninety-two million, five hundred sixty-six thousand, four hundred twenty-nine".

Divisors: 1 3 9 19 57 171 223 669 2007 4237 12711 38133 3547913 10643739 31931217 67410347 202231041 606693123 791184599 2373553797 7120661391 15032507381 45097522143 135292566429