Search a number
-
+
135860622150 = 235211193142641
BaseRepresentation
bin111111010000111101…
…1001001001101000110
3110222200100201200211110
41332201323021031012
54211220304402100
6142225152345450
712546516143211
oct1764173111506
9428610650743
10135860622150
1152688863310
12223b7545286
13ca721204a6
14680b996778
153802619250
hex1fa1ec9346

135860622150 has 96 divisors (see below), whose sum is σ = 367763711616. Its totient is φ = 32918080000.

The previous prime is 135860622113. The next prime is 135860622173. The reversal of 135860622150 is 51226068531.

It is a junction number, because it is equal to n+sod(n) for n = 135860622099 and 135860622108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3164830 + ... + 3207470.

It is an arithmetic number, because the mean of its divisors is an integer number (3830871996).

Almost surely, 2135860622150 is an apocalyptic number.

135860622150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135860622150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183881855808).

135860622150 is an abundant number, since it is smaller than the sum of its proper divisors (231903089466).

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

135860622150 is a wasteful number, since it uses less digits than its factorization.

135860622150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44598 (or 44593 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 135860622150 in words is "one hundred thirty-five billion, eight hundred sixty million, six hundred twenty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 1931 3862 5793 9655 11586 19310 21241 28965 42482 42641 48275 57930 63723 85282 96550 106205 127446 127923 144825 212410 213205 255846 289650 318615 426410 469051 531025 637230 639615 938102 1062050 1066025 1279230 1407153 1593075 2132050 2345255 2814306 3186150 3198075 4690510 6396150 7035765 11726275 14071530 23452550 35178825 70357650 82339771 164679542 247019313 411698855 494038626 823397710 905737481 1235096565 1811474962 2058494275 2470193130 2717212443 4116988550 4528687405 5434424886 6175482825 9057374810 12350965650 13586062215 22643437025 27172124430 45286874050 67930311075 135860622150