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126252229104 = 243217346914867
BaseRepresentation
bin111010110010100111…
…0000010000111110000
3110001212201211202110100
41311211032002013300
54032031032312404
6133555515232400
712056435145411
oct1654516020760
9401781752410
10126252229104
11495a8101411
1220575748700
13bba05c6311
146179851808
15343dd12d39
hex1d653821f0

126252229104 has 120 divisors (see below), whose sum is σ = 374248077840. Its totient is φ = 39594461184.

The previous prime is 126252229067. The next prime is 126252229111. The reversal of 126252229104 is 401922252621.

126252229104 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 522 + 29 + 104 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8484679 + ... + 8499545.

It is an arithmetic number, because the mean of its divisors is an integer number (3118733982).

Almost surely, 2126252229104 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 126252229104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187124038920).

126252229104 is an abundant number, since it is smaller than the sum of its proper divisors (247995848736).

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

126252229104 is a wasteful number, since it uses less digits than its factorization.

126252229104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18367 (or 18358 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 126252229104 in words is "one hundred twenty-six billion, two hundred fifty-two million, two hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 3469 6938 10407 13876 14867 20814 27752 29734 31221 41628 44601 55504 58973 59468 62442 83256 89202 117946 118936 124884 133803 166512 176919 178404 235892 237872 249768 252739 267606 353838 356808 471784 499536 505478 530757 535212 707676 713616 758217 943568 1010956 1061514 1070424 1415352 1516434 2021912 2123028 2140848 2274651 2830704 3032868 4043824 4246056 4549302 6065736 8492112 9098604 12131472 18197208 36394416 51573623 103147246 154720869 206294492 309441738 412588984 464162607 618883476 825177968 876751591 928325214 1237766952 1753503182 1856650428 2475533904 2630254773 3507006364 3713300856 5260509546 7014012728 7426601712 7890764319 10521019092 14028025456 15781528638 21042038184 31563057276 42084076368 63126114552 126252229104