Search a number
-
+
126220795376 = 24133789184279
BaseRepresentation
bin111010110001101011…
…0000111110111110000
3110001210112200202111012
41311203112013313300
54032000010423001
6133552433410052
712055604026034
oct1654326076760
9401715622435
10126220795376
1149591391825
1220567109928
13bb96c3b890
1461755cc1c4
15343b1a42bb
hex1d63587df0

126220795376 has 80 divisors (see below), whose sum is σ = 273523118400. Its totient is φ = 56044099584.

The previous prime is 126220795367. The next prime is 126220795381. The reversal of 126220795376 is 673597022621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592805 + ... + 777083.

It is an arithmetic number, because the mean of its divisors is an integer number (3419038980).

Almost surely, 2126220795376 is an apocalyptic number.

126220795376 is a gapful number since it is divisible by the number (16) 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 126220795376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136761559200).

126220795376 is an abundant number, since it is smaller than the sum of its proper divisors (147302323024).

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

126220795376 is a wasteful number, since it uses less digits than its factorization.

126220795376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184426 (or 184420 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

The spelling of 126220795376 in words is "one hundred twenty-six billion, two hundred twenty million, seven hundred ninety-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 37 52 74 89 104 148 178 208 296 356 481 592 712 962 1157 1424 1924 2314 3293 3848 4628 6586 7696 9256 13172 18512 26344 42809 52688 85618 171236 184279 342472 368558 684944 737116 1474232 2395627 2948464 4791254 6818323 9582508 13636646 16400831 19165016 27273292 32801662 38330032 54546584 65603324 88638199 109093168 131206648 177276398 213210803 262413296 354552796 426421606 606830747 709105592 852843212 1213661494 1418211184 1705686424 2427322988 3411372848 4854645976 7888799711 9709291952 15777599422 31555198844 63110397688 126220795376