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126430252056 = 23332932576197
BaseRepresentation
bin111010110111111010…
…1001000110000011000
3110002100010211021001000
41311233311020300120
54032412121031211
6134025315025000
712064026260643
oct1655765106030
9402303737030
10126430252056
1149689643719
122060529b160
13bbcb457344
146195352a5a
15344e77a656
hex1d6fd48c18

126430252056 has 128 divisors (see below), whose sum is σ = 363475512000. Its totient is φ = 40671138816.

The previous prime is 126430252051. The next prime is 126430252079. The reversal of 126430252056 is 650252034621.

126430252056 is a `hidden beast` number, since 1 + 2 + 643 + 0 + 2 + 5 + 2 + 0 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126430252056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126430252051) 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, 20398750 + ... + 20404946.

Almost surely, 2126430252056 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 126430252056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181737756000).

126430252056 is an abundant number, since it is smaller than the sum of its proper divisors (237045259944).

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

126430252056 is a wasteful number, since it uses less digits than its factorization.

126430252056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9498 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 126430252056 its reverse (650252034621), we get a palindrome (776682286677).

The spelling of 126430252056 in words is "one hundred twenty-six billion, four hundred thirty million, two hundred fifty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 3257 6197 6264 6514 9771 12394 13028 18591 19542 24788 26056 29313 37182 39084 49576 55773 58626 74364 78168 87939 94453 111546 117252 148728 167319 175878 179713 188906 223092 234504 283359 334638 351756 359426 377812 446184 539139 566718 669276 703512 718852 755624 850077 1078278 1133436 1338552 1437704 1617417 1700154 2156556 2266872 2550231 3234834 3400308 4313112 4852251 5100462 6469668 6800616 9704502 10200924 12939336 19409004 20183629 20401848 38818008 40367258 60550887 80734516 121101774 161469032 181652661 242203548 363305322 484407096 544957983 585325241 726610644 1089915966 1170650482 1453221288 1755975723 2179831932 2341300964 3511951446 4359663864 4682601928 5267927169 7023902892 10535854338 14047805784 15803781507 21071708676 31607563014 42143417352 63215126028 126430252056