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13454635005 = 34574745903
BaseRepresentation
bin11001000011111010…
…10110111111111101
31021201200021021110000
430201331112333331
5210023341310010
610103031304513
7654263340060
oct144175267775
937650237400
1013454635005
115784877469
122735b1b139
1313656322b6
14918cb28d7
1553b3087c0
hex321f56ffd

13454635005 has 40 divisors (see below), whose sum is σ = 27564210432. Its totient is φ = 6150688992.

The previous prime is 13454634979. The next prime is 13454635043. The reversal of 13454635005 is 50053645431.

13454635005 is a `hidden beast` number, since 13 + 4 + 5 + 4 + 635 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 13454635005 - 218 = 13454372861 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2370117 + ... + 2375786.

Almost surely, 213454635005 is an apocalyptic number.

13454635005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13454635005 is an abundant number, since it is smaller than the sum of its proper divisors (14109575427).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13454635005 is an equidigital number, since it uses as much as digits as its factorization.

13454635005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745927 (or 4745918 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 13454635005 in words is "thirteen billion, four hundred fifty-four million, six hundred thirty-five thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 4745903 14237709 23729515 33221321 42713127 71188545 99663963 128139381 166106605 213565635 298991889 384418143 498319815 640696905 896975667 1494959445 1922090715 2690927001 4484878335 13454635005