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126426180312 = 233217223463181
BaseRepresentation
bin111010110111110010…
…1100110101011011000
3110002022212011101122200
41311233211212223120
54032410100232222
6134025051450200
712063646541655
oct1655745465330
9402285141580
10126426180312
1149687312543
1220603a56960
13bbca65cc23
1461949b2c2c
15344e223eac
hex1d6f966ad8

126426180312 has 96 divisors (see below), whose sum is σ = 364172215680. Its totient is φ = 39485168640.

The previous prime is 126426180271. The next prime is 126426180343. The reversal of 126426180312 is 213081624621.

It is a happy number.

126426180312 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 2 + 618 + 0 + 31 + 2 = 666.

126426180312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41362 + ... + 504542.

It is an arithmetic number, because the mean of its divisors is an integer number (3793460580).

Almost surely, 2126426180312 is an apocalyptic number.

126426180312 is a gapful number since it is divisible by the number (12) 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 126426180312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182086107840).

126426180312 is an abundant number, since it is smaller than the sum of its proper divisors (237746035368).

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

126426180312 is a wasteful number, since it uses less digits than its factorization.

126426180312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463433 (or 463426 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 126426180312 in words is "one hundred twenty-six billion, four hundred twenty-six million, one hundred eighty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 223 306 408 446 612 669 892 1224 1338 1784 2007 2676 3791 4014 5352 7582 8028 11373 15164 16056 22746 30328 34119 45492 68238 90984 136476 272952 463181 926362 1389543 1852724 2779086 3705448 4168629 5558172 7874077 8337258 11116344 15748154 16674516 23622231 31496308 33349032 47244462 62992616 70866693 94488924 103289363 141733386 188977848 206578726 283466772 309868089 413157452 566933544 619736178 826314904 929604267 1239472356 1755919171 1859208534 2478944712 3511838342 3718417068 5267757513 7023676684 7436834136 10535515026 14047353368 15803272539 21071030052 31606545078 42142060104 63213090156 126426180312