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135630177678 = 2341077824517
BaseRepresentation
bin111111001010000110…
…0000100010110001110
3110222002022002220110000
41332110030010112032
54210232311141203
6142150241225130
712541020326352
oct1762414042616
9428068086400
10135630177678
115257a776a36
12223523321a6
13ca36466b08
1467c912b462
1537dc2994a3
hex1f9430458e

135630177678 has 40 divisors (see below), whose sum is σ = 306752403672. Its totient is φ = 44787529584.

The previous prime is 135630177677. The next prime is 135630177707. The reversal of 135630177678 is 876771036531.

135630177678 is a `hidden beast` number, since 1 + 3 + 563 + 0 + 1 + 7 + 7 + 6 + 78 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135630177673) 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 19 ways as a sum of consecutive naturals, for example, 3894925 + ... + 3929592.

Almost surely, 2135630177678 is an apocalyptic number.

135630177678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

135630177678 is an abundant number, since it is smaller than the sum of its proper divisors (171122225994).

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

135630177678 is a wasteful number, since it uses less digits than its factorization.

135630177678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824638 (or 7824629 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 135630177678 in words is "one hundred thirty-five billion, six hundred thirty million, one hundred seventy-seven thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 642 963 1926 2889 5778 8667 17334 7824517 15649034 23473551 46947102 70420653 140841306 211261959 422523918 633785877 837223319 1267571754 1674446638 2511669957 5023339914 7535009871 15070019742 22605029613 45210059226 67815088839 135630177678