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135780234678 = 232112363329017
BaseRepresentation
bin111111001110100100…
…0011111010110110110
3110222110202110120221200
41332131020133112312
54211034220002203
6142213201353330
712544521644334
oct1763510372666
9428422416850
10135780234678
1152647447a90
1222394638846
13ca5b58593a
14680102cb54
1537ea53a9a3
hex1f9d21f5b6

135780234678 has 48 divisors (see below), whose sum is σ = 320959740816. Its totient is φ = 41142366720.

The previous prime is 135780234677. The next prime is 135780234683. The reversal of 135780234678 is 876432087531.

It is a happy number.

135780234678 is a `hidden beast` number, since 1 + 3 + 578 + 0 + 2 + 3 + 4 + 67 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135780234673) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4664826 + ... + 4693842.

It is an arithmetic number, because the mean of its divisors is an integer number (6686661267).

Almost surely, 2135780234678 is an apocalyptic number.

135780234678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

135780234678 is an abundant number, since it is smaller than the sum of its proper divisors (185179506138).

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

135780234678 is a wasteful number, since it uses less digits than its factorization.

135780234678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52669 (or 52666 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 135780234678 in words is "one hundred thirty-five billion, seven hundred eighty million, two hundred thirty-four thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 23633 29017 47266 58034 70899 87051 141798 174102 212697 259963 261153 319187 425394 519926 522306 638374 779889 957561 1559778 1915122 2339667 2872683 4679334 5745366 685758761 1371517522 2057276283 4114552566 6171828849 7543346371 12343657698 15086692742 22630039113 45260078226 67890117339 135780234678