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126708945444 = 223241214472
BaseRepresentation
bin111011000000001110…
…0010001001000100100
3110010001120020100111100
41312000130101020210
54033444442223234
6134113112240100
712103652160054
oct1660034211044
9403046210440
10126708945444
1149811995134
12206826a0030
13bc44105083
1461c037b564
153468e7b399
hex1d80711224

126708945444 has 81 divisors (see below), whose sum is σ = 328521630801. Its totient is φ = 41177684160.

The previous prime is 126708945373. The next prime is 126708945457. The reversal of 126708945444 is 444549807621.

The square root of 126708945444 is 355962.

It is a perfect power (a square), and thus also a powerful number.

126708945444 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 0 + 8 + 94 + 544 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6105547044 + 120603398400 = 78138^2 + 347280^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 87565929 + ... + 87567375.

Almost surely, 2126708945444 is an apocalyptic number.

126708945444 is the 355962-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126708945444

126708945444 is an abundant number, since it is smaller than the sum of its proper divisors (201812685357).

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

126708945444 is an equidigital number, since it uses as much as digits as its factorization.

126708945444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 126708945444 in words is "one hundred twenty-six billion, seven hundred eight million, nine hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1447 1476 1681 2894 3362 4341 5043 5788 6724 8682 10086 13023 15129 17364 20172 26046 30258 52092 59327 60516 118654 177981 237308 355962 533943 711924 1067886 2093809 2135772 2432407 4187618 4864814 6281427 7297221 8375236 9729628 12562854 14594442 18844281 21891663 25125708 29188884 37688562 43783326 75377124 85846169 87566652 171692338 257538507 343384676 515077014 772615521 1030154028 1545231042 3090462084 3519692929 7039385858 10559078787 14078771716 21118157574 31677236361 42236315148 63354472722 126708945444