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125445332541222 = 232313735916924823
BaseRepresentation
bin11100100001011110000100…
…011111000001111100100110
3121110011110022220122020012200
4130201132010133001330212
5112420244020112304342
61122444442403155330
735265061166116461
oct3441360437017446
9543143286566180
10125445332541222
1136a75080959271
12120a0190075b46
1354cc5a08c2a55
1422d982d48c2d8
15e781c349994c
hex7217847c1f26

125445332541222 has 96 divisors (see below), whose sum is σ = 288951427215360. Its totient is φ = 39262879068480.

The previous prime is 125445332541197. The next prime is 125445332541257. The reversal of 125445332541222 is 222145233544521.

125445332541222 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 4 + 53 + 32 + 541 + 2 + 22 = 666.

125445332541222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1050498 + ... + 15874325.

It is an arithmetic number, because the mean of its divisors is an integer number (3009910700160).

Almost surely, 2125445332541222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125445332541222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144475713607680).

125445332541222 is an abundant number, since it is smaller than the sum of its proper divisors (163506094674138).

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

125445332541222 is a wasteful number, since it uses less digits than its factorization.

125445332541222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16925258 (or 16925255 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

The spelling of 125445332541222 in words is "one hundred twenty-five trillion, four hundred forty-five billion, three hundred thirty-two million, five hundred forty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 186 222 279 333 359 558 666 718 1077 1147 2154 2294 3231 3441 6462 6882 10323 11129 13283 20646 22258 26566 33387 39849 66774 79698 100161 119547 200322 239094 411773 823546 1235319 2470638 3705957 7411914 16924823 33849646 50774469 101548938 152323407 304646814 524669513 626218451 1049339026 1252436902 1574008539 1878655353 3148017078 3757310706 4722025617 5635966059 6076011457 9444051234 11271932118 12152022914 18228034371 19412771981 36456068742 38825543962 54684103113 58238315943 109368206226 116476631886 174714947829 188356355167 224812423909 349429895658 376712710334 449624847818 565069065501 674437271727 1130138131002 1348874543454 1695207196503 2023311815181 3390414393006 4046623630362 6969185141179 13938370282358 20907555423537 41815110847074 62722666270611 125445332541222