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135800543385 = 3351377379227
BaseRepresentation
bin111111001111001010…
…1111101100010011001
3110222112011200101021000
41332132111331202121
54211104414342020
6142215204535213
712545156400363
oct1763625754231
9428464611230
10135800543385
1152657959241
122239b3b1509
13ca62846720
1468039d7d33
1537ec1ed090
hex1f9e57d899

135800543385 has 32 divisors (see below), whose sum is σ = 259994206080. Its totient is φ = 66855651264.

The previous prime is 135800543371. The next prime is 135800543413. The reversal of 135800543385 is 583345008531.

135800543385 is a `hidden beast` number, since 13 + 580 + 0 + 54 + 3 + 3 + 8 + 5 = 666.

It is not a de Polignac number, because 135800543385 - 26 = 135800543321 is a prime.

It is a super-3 number, since 3×1358005433853 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 135800543385.

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 31 ways as a sum of consecutive naturals, for example, 38687859 + ... + 38691368.

It is an arithmetic number, because the mean of its divisors is an integer number (8124818940).

Almost surely, 2135800543385 is an apocalyptic number.

135800543385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135800543385 is a deficient number, since it is larger than the sum of its proper divisors (124193662695).

135800543385 is a wasteful number, since it uses less digits than its factorization.

135800543385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77379254 (or 77379248 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 135800543385 in words is "one hundred thirty-five billion, eight hundred million, five hundred forty-three thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 77379227 232137681 386896135 696413043 1005929951 1160688405 2089239129 3017789853 3482065215 5029649755 9053369559 10446195645 15088949265 27160108677 45266847795 135800543385