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135916382730 = 23543105361537
BaseRepresentation
bin111111010010100111…
…1110110101000001010
3110222211020122121222010
41332211033312220022
54211324043221410
6142234503440350
712551064122412
oct1764517665012
9428736577863
10135916382730
1152707289037
12224121560b6
13ca8084490b
14681514d642
153807480c20
hex1fa53f6a0a

135916382730 has 32 divisors (see below), whose sum is σ = 333785352384. Its totient is φ = 35401476096.

The previous prime is 135916382611. The next prime is 135916382737. The reversal of 135916382730 is 37283619531.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 135916382730.

It is not an unprimeable number, because it can be changed into a prime (135916382737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52679479 + ... + 52682058.

It is an arithmetic number, because the mean of its divisors is an integer number (10430792262).

Almost surely, 2135916382730 is an apocalyptic number.

135916382730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135916382730 is an abundant number, since it is smaller than the sum of its proper divisors (197868969654).

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

135916382730 is a wasteful number, since it uses less digits than its factorization.

135916382730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105361590.

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 135916382730 in words is "one hundred thirty-five billion, nine hundred sixteen million, three hundred eighty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 105361537 210723074 316084611 526807685 632169222 1053615370 1580423055 3160846110 4530546091 9061092182 13591638273 22652730455 27183276546 45305460910 67958191365 135916382730