Search a number
-
+
126274818540 = 223513271597383
BaseRepresentation
bin111010110011010010…
…0001101000111101100
3110001221022100102100010
41311212210031013230
54032102323143130
6134002043333220
712060131151003
oct1654644150754
9401838312303
10126274818540
1149609930172
1220581221210
13bba51a5250
14617c851c3a
153440cc60b0
hex1d6690d1ec

126274818540 has 96 divisors (see below), whose sum is σ = 382172829696. Its totient is φ = 30968282880.

The previous prime is 126274818529. The next prime is 126274818547. The reversal of 126274818540 is 45818472621.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 126274818540.

It is not an unprimeable number, because it can be changed into a prime (126274818547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87312 + ... + 510071.

It is an arithmetic number, because the mean of its divisors is an integer number (3980966976).

Almost surely, 2126274818540 is an apocalyptic number.

126274818540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126274818540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191086414848).

126274818540 is an abundant number, since it is smaller than the sum of its proper divisors (255898011156).

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

126274818540 is a wasteful number, since it uses less digits than its factorization.

126274818540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597679 (or 597677 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 126274818540 in words is "one hundred twenty-six billion, two hundred seventy-four million, eight hundred eighteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 271 390 542 780 813 1084 1355 1626 2710 3252 3523 4065 5420 7046 8130 10569 14092 16260 17615 21138 35230 42276 52845 70460 105690 211380 597383 1194766 1792149 2389532 2986915 3584298 5973830 7168596 7765979 8960745 11947660 15531958 17921490 23297937 31063916 35842980 38829895 46595874 77659790 93191748 116489685 155319580 161890793 232979370 323781586 465958740 485672379 647563172 809453965 971344758 1618907930 1942689516 2104580309 2428361895 3237815860 4209160618 4856723790 6313740927 8418321236 9713447580 10522901545 12627481854 21045803090 25254963708 31568704635 42091606180 63137409270 126274818540