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126361536532 = 227211466312569
BaseRepresentation
bin111010110101110111…
…1000000100000010100
3110002011100112011001121
41311223233000200110
54032242023132112
6134014422133324
712062233224100
oct1655357004024
9402140464047
10126361536532
114965387a730
12205a6281244
13bbba14837a
14618a186900
153448705407
hex1d6bbc0814

126361536532 has 72 divisors (see below), whose sum is σ = 280703586240. Its totient is φ = 49217293440.

The previous prime is 126361536529. The next prime is 126361536601. The reversal of 126361536532 is 235635163621.

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, 10047144 + ... + 10059712.

It is an arithmetic number, because the mean of its divisors is an integer number (3898660920).

Almost surely, 2126361536532 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 126361536532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140351793120).

126361536532 is an abundant number, since it is smaller than the sum of its proper divisors (154342049708).

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

126361536532 is a wasteful number, since it uses less digits than its factorization.

126361536532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17261 (or 17252 counting only the distinct ones).

The product of its digits is 583200, while the sum is 43.

The spelling of 126361536532 in words is "one hundred twenty-six billion, three hundred sixty-one million, five hundred thirty-six thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 2156 4663 9326 12569 18652 25138 32641 50276 51293 65282 87983 102586 130564 138259 175966 205172 228487 276518 351932 359051 456974 553036 615881 718102 913948 967813 1231762 1436204 1935626 2463524 2513357 3871252 5026714 6774691 10053428 13549382 27098764 58609247 117218494 234436988 410264729 644701717 820529458 1289403434 1641058916 2578806868 2871853103 4512912019 5743706206 9025824038 11487412412 18051648076 31590384133 63180768266 126361536532