Search a number
-
+
135717712312 = 237137310132521
BaseRepresentation
bin111111001100101100…
…1111111000110111000
3110222022101211010101111
41332121121333012320
54210422213243222
6142203045330104
712543132343360
oct1763131770670
9428271733344
10135717712312
1152615124006
1222377706934
13ca4b634860
1467d69d59a0
1537e4cda777
hex1f9967f1b8

135717712312 has 128 divisors (see below), whose sum is σ = 317924530560. Its totient is φ = 52881776640.

The previous prime is 135717712303. The next prime is 135717712313. The reversal of 135717712312 is 213217717531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135717712313) 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 31 ways as a sum of consecutive naturals, for example, 53833612 + ... + 53836132.

It is an arithmetic number, because the mean of its divisors is an integer number (2483785395).

Almost surely, 2135717712312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135717712312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158962265280).

135717712312 is an abundant number, since it is smaller than the sum of its proper divisors (182206818248).

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

135717712312 is a wasteful number, since it uses less digits than its factorization.

135717712312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3629 counting only the distinct ones).

The product of its digits is 61740, while the sum is 40.

The spelling of 135717712312 in words is "one hundred thirty-five billion, seven hundred seventeen million, seven hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 73 91 104 146 182 292 364 511 584 728 949 1013 1022 1898 2026 2044 2521 3796 4052 4088 5042 6643 7091 7592 8104 10084 13169 13286 14182 17647 20168 26338 26572 28364 32773 35294 52676 53144 56728 65546 70588 73949 92183 105352 131092 141176 147898 184033 184366 229411 262184 295796 368066 368732 458822 517643 591592 736132 737464 917644 961337 1035286 1288231 1472264 1835288 1922674 2070572 2392429 2553773 2576462 3845348 4141144 4784858 5107546 5152924 6729359 7690696 9569716 10215092 10305848 13458718 16747003 17876411 19139432 20430184 26917436 33199049 33494006 35752822 53834872 66398098 66988012 71505644 132796196 133976024 143011288 186425429 232393343 265592392 372850858 464786686 745701716 929573372 1304978003 1491403432 1859146744 2423530577 2609956006 4847061154 5219912012 9694122308 10439824024 16964714039 19388244616 33929428078 67858856156 135717712312