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4712136444 = 2238409439
BaseRepresentation
bin1000110001101110…
…10111111011111100
3110011101201100000000
410120313113323330
534122301331234
62055325234300
7224525333061
oct43067277374
913141640000
104712136444
111aa8972944
12ab6102990
135a131cc22
14329b6ac68
151c8a43899
hex118dd7efc

4712136444 has 108 divisors (see below), whose sum is σ = 12427214800. Its totient is φ = 1563302592.

The previous prime is 4712136419. The next prime is 4712136469. The reversal of 4712136444 is 4446312174.

4712136444 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 1 + 3 + 644 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4712136419) and next prime (4712136469).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4712136399 and 4712136408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10733577 + ... + 10734015.

Almost surely, 24712136444 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 4712136444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213607400).

4712136444 is an abundant number, since it is smaller than the sum of its proper divisors (7715078356).

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

4712136444 is an equidigital number, since it uses as much as digits as its factorization.

4712136444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 853 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4712136444 is about 68645.0030519338. The cubic root of 4712136444 is about 1676.5092441704.

The spelling of 4712136444 in words is "four billion, seven hundred twelve million, one hundred thirty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 409 439 486 729 818 878 972 1227 1317 1458 1636 1756 2187 2454 2634 2916 3681 3951 4374 4908 5268 6561 7362 7902 8748 11043 11853 13122 14724 15804 22086 23706 26244 33129 35559 44172 47412 66258 71118 99387 106677 132516 142236 179551 198774 213354 298161 320031 359102 397548 426708 538653 596322 640062 718204 894483 960093 1077306 1192644 1280124 1615959 1788966 1920186 2154612 2683449 2880279 3231918 3577932 3840372 4847877 5366898 5760558 6463836 9695754 10733796 11521116 14543631 19391508 29087262 43630893 58174524 87261786 130892679 174523572 261785358 392678037 523570716 785356074 1178034111 1570712148 2356068222 4712136444