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134563505365431 = 3337487276587687
BaseRepresentation
bin11110100110001010000001…
…111011111110000110110111
3122122110010221001110112002000
4132212022001323332012313
5120114142024333143211
61154105342043350343
740225615051246242
oct3646120173760667
9578403831415060
10134563505365431
113997007579627a
12131133858223b3
135a1139025339c
142532ca096c259
15108548b506656
hex7a6281efe1b7

134563505365431 has 32 divisors (see below), whose sum is σ = 205161683450880. Its totient is φ = 87105206776608.

The previous prime is 134563505365427. The next prime is 134563505365511.

134563505365431 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 6 + 3 + 50 + 536 + 54 + 3 + 1 = 666.

134563505365431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134563505365431 - 22 = 134563505365427 is a prime.

It is a super-2 number, since 2×1345635053654312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134563505361431) 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, 137807331 + ... + 138780356.

It is an arithmetic number, because the mean of its divisors is an integer number (6411302607840).

Almost surely, 2134563505365431 is an apocalyptic number.

134563505365431 is a deficient number, since it is larger than the sum of its proper divisors (70598178085449).

134563505365431 is a wasteful number, since it uses less digits than its factorization.

134563505365431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276588220 (or 276588214 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 54.

The spelling of 134563505365431 in words is "one hundred thirty-four trillion, five hundred sixty-three billion, five hundred five million, three hundred sixty-five thousand, four hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 487 999 1461 4383 13149 18019 54057 162171 486513 276587687 829763061 2489289183 7467867549 10233744419 30701233257 92103699771 134698203569 276311099313 404094610707 1212283832121 3636851496363 4983833532053 14951500596159 44854501788477 134563505365431