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125064430226226 = 232177337561149057
BaseRepresentation
bin11100011011111011010100…
…111100000000101100110010
3121101211001011011201202222200
4130123323110330000230302
5112343023423114214401
61121553450040444030
735225415111632421
oct3433732474005462
9541731134652880
10125064430226226
1136938588492317
121203a3a8779616
1354a26a9a3504a
1422c52178112b8
15e6d32d4d4686
hex71bed4f00b32

125064430226226 has 96 divisors (see below), whose sum is σ = 290852519329008. Its totient is φ = 38697131704320.

The previous prime is 125064430226207. The next prime is 125064430226227. The reversal of 125064430226226 is 622622034460521.

125064430226226 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 64 + 4 + 302 + 262 + 26 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18278061831225 + 106786368395001 = 4275285^2 + 10333749^2 .

It is a super-2 number, since 2×1250644302262262 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125064430226227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838963090 + ... + 839112146.

Almost surely, 2125064430226226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125064430226226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145426259664504).

125064430226226 is an abundant number, since it is smaller than the sum of its proper divisors (165788089102782).

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

125064430226226 is a wasteful number, since it uses less digits than its factorization.

125064430226226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186716 (or 186713 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Adding to 125064430226226 its reverse (622622034460521), we get a palindrome (747686464686747).

The spelling of 125064430226226 in words is "one hundred twenty-five trillion, sixty-four billion, four hundred thirty million, two hundred twenty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 73 102 146 153 219 306 438 657 1241 1314 2482 3723 7446 11169 22338 37561 75122 112683 149057 225366 298114 338049 447171 638537 676098 894342 1277074 1341513 1915611 2533969 2683026 2741953 3831222 5067938 5483906 5746833 7601907 8225859 10881161 11493666 15203814 16451718 21762322 22805721 24677577 32643483 45611442 46613201 49355154 65286966 93226402 97930449 139839603 184979737 195860898 279679206 369959474 419518809 554939211 839037618 1109878422 1664817633 3329635266 5598729977 11197459954 16796189931 33592379862 50388569793 95178409609 100777139586 190356819218 285535228827 408707288321 571070457654 817414576642 856605686481 1226121864963 1713211372962 2452243729926 3678365594889 6948023901457 7356731189778 13896047802914 20844071704371 41688143408742 62532215113113 125064430226226