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126531444636 = 223241160953279
BaseRepresentation
bin111010111010111011…
…1001001111110011100
3110002121012020101011100
41311311313021332130
54033114022212021
6134043331553100
712066365351022
oct1656567117634
9402535211140
10126531444636
114973077a153
122063315b790
13bc163c78cc
1461a4974712
1534585b8626
hex1d75dc9f9c

126531444636 has 72 divisors (see below), whose sum is σ = 327854217600. Its totient is φ = 41122091520.

The previous prime is 126531444539. The next prime is 126531444643. The reversal of 126531444636 is 636444135621.

126531444636 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 3 + 1 + 4 + 4 + 4 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 126531444591 and 126531444600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2348245 + ... + 2401523.

It is an arithmetic number, because the mean of its divisors is an integer number (4553530800).

Almost surely, 2126531444636 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 126531444636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163927108800).

126531444636 is an abundant number, since it is smaller than the sum of its proper divisors (201322772964).

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

126531444636 is a wasteful number, since it uses less digits than its factorization.

126531444636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54939 (or 54934 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 126531444636 in words is "one hundred twenty-six billion, five hundred thirty-one million, four hundred forty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1609 3218 4827 6436 9654 14481 19308 28962 53279 57924 65969 106558 131938 159837 197907 213116 263876 319674 395814 479511 593721 639348 791628 959022 1187442 1918044 2184439 2374884 4368878 6553317 8737756 13106634 19659951 26213268 39319902 78639804 85725911 171451822 257177733 342903644 514355466 771533199 1028710932 1543066398 3086132796 3514762351 7029524702 10544287053 14059049404 21088574106 31632861159 42177148212 63265722318 126531444636