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126480442068 = 2232171931873413
BaseRepresentation
bin111010111001011010…
…0100110001011010100
3110002110122021011210100
41311302310212023110
54033012443121233
6134034310454100
712065206006341
oct1656264461324
9402418234710
10126480442068
1149704a04172
122061a064330
13bc0897b086
14619bc997c8
153453d91813
hex1d72d262d4

126480442068 has 144 divisors (see below), whose sum is σ = 356554336320. Its totient is φ = 37568904192.

The previous prime is 126480442021. The next prime is 126480442079. The reversal of 126480442068 is 860244084621.

126480442068 is a `hidden beast` number, since 12 + 64 + 80 + 442 + 0 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 37056730 + ... + 37060142.

It is an arithmetic number, because the mean of its divisors is an integer number (2476071780).

Almost surely, 2126480442068 is an apocalyptic number.

126480442068 is a gapful number since it is divisible by the number (18) 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 126480442068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178277168160).

126480442068 is an abundant number, since it is smaller than the sum of its proper divisors (230073894252).

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

126480442068 is a wasteful number, since it uses less digits than its factorization.

126480442068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 126480442068 in words is "one hundred twenty-six billion, four hundred eighty million, four hundred forty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3187 3413 3876 5814 6374 6826 9561 10239 11628 12748 13652 19122 20478 28683 30717 38244 40956 54179 57366 58021 60553 61434 64847 108358 114732 116042 121106 122868 129694 162537 174063 181659 194541 216716 232084 242212 259388 325074 348126 363318 389082 487611 522189 544977 583623 650148 696252 726636 778164 975222 1029401 1044378 1089954 1102399 1167246 1950444 2058802 2088756 2179908 2204798 2334492 3088203 3307197 4117604 4409596 6176406 6614394 9264609 9921591 10877231 12352812 13228788 18529218 19843182 21754462 32631693 37058436 39686364 43508924 65263386 97895079 130526772 184912927 195790158 206667389 369825854 391580316 413334778 554738781 620002167 739651708 826669556 1109477562 1240004334 1664216343 1860006501 2218955124 2480008668 3328432686 3513345613 3720013002 6656865372 7026691226 7440026004 10540036839 14053382452 21080073678 31620110517 42160147356 63240221034 126480442068