Search a number
-
+
636474031842 = 231131617369859
BaseRepresentation
bin10010100001100001100…
…11101111111011100010
32020211211222011211222110
421100300303233323202
540411444323004332
61204220411220150
763661264002165
oct11206063577342
92224758154873
10636474031842
11225a21aa8570
12a3429a47656
134803338067c
1422b3c453adc
15118520184cc
hex9430cefee2

636474031842 has 128 divisors (see below), whose sum is σ = 1476945469440. Its totient is φ = 181071936000.

The previous prime is 636474031813. The next prime is 636474031849. The reversal of 636474031842 is 248130474636.

It is a super-2 number, since 2×6364740318422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 636474031791 and 636474031800.

It is not an unprimeable number, because it can be changed into a prime (636474031849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9075909 + ... + 9145767.

It is an arithmetic number, because the mean of its divisors is an integer number (11538636480).

Almost surely, 2636474031842 is an apocalyptic number.

636474031842 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 636474031842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738472734720).

636474031842 is an abundant number, since it is smaller than the sum of its proper divisors (840471437598).

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

636474031842 is a wasteful number, since it uses less digits than its factorization.

636474031842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70040.

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 636474031842 in words is "six hundred thirty-six billion, four hundred seventy-four million, thirty-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 61 62 66 73 93 122 146 183 186 219 341 366 438 671 682 803 1023 1342 1606 1891 2013 2046 2263 2409 3782 4026 4453 4526 4818 5673 6789 8906 11346 13359 13578 20801 24893 26718 41602 48983 49786 62403 69859 74679 97966 124806 138043 139718 146949 149358 209577 276086 293898 414129 419154 768449 828258 1518473 1536898 2165629 2305347 3036946 4261399 4331258 4555419 4610694 5099707 6496887 8522798 9110838 10199414 12784197 12993774 15299121 23821919 25568394 30598242 46875389 47643838 56096777 71465757 93750778 112193554 132103369 140626167 142931514 158090917 168290331 264206738 281252334 311082127 316181834 336580662 396310107 474272751 622164254 792620214 933246381 948545502 1453137059 1739000087 1866492762 2906274118 3421903397 3478000174 4359411177 5217000261 6843806794 8718822354 9643545937 10265710191 10434000522 19287091874 20531420382 28930637811 57861275622 106079005307 212158010614 318237015921 636474031842