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125504111424 = 2638378710007
BaseRepresentation
bin111010011100010100…
…0001100001101000000
3102222221121010102221010
41310320220030031000
54024013023031144
6133353352400520
712032052226326
oct1647050141500
9388847112833
10125504111424
114925388753a
12203a70a6140
13bab160a533
14610834dd16
1533e82d85b9
hex1d38a0c340

125504111424 has 112 divisors (see below), whose sum is σ = 336524364288. Its totient is φ = 41274029568.

The previous prime is 125504111401. The next prime is 125504111441. The reversal of 125504111424 is 424111405521.

It is a junction number, because it is equal to n+sod(n) for n = 125504111391 and 125504111400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12536629 + ... + 12546635.

It is an arithmetic number, because the mean of its divisors is an integer number (3004681824).

Almost surely, 2125504111424 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 125504111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168262182144).

125504111424 is an abundant number, since it is smaller than the sum of its proper divisors (211020252864).

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

125504111424 is a wasteful number, since it uses less digits than its factorization.

125504111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10892 (or 10882 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 125504111424 its reverse (424111405521), we get a palindrome (549615516945).

The spelling of 125504111424 in words is "one hundred twenty-five billion, five hundred four million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 787 996 1328 1574 1992 2361 2656 3148 3984 4722 5312 6296 7968 9444 10007 12592 15936 18888 20014 25184 30021 37776 40028 50368 60042 65321 75552 80056 120084 130642 151104 160112 195963 240168 261284 320224 391926 480336 522568 640448 783852 830581 960672 1045136 1567704 1661162 1921344 2090272 2491743 3135408 3322324 4180544 4983486 6270816 6644648 7875509 9966972 12541632 13289296 15751018 19933944 23626527 26578592 31502036 39867888 47253054 53157184 63004072 79735776 94506108 126008144 159471552 189012216 252016288 378024432 504032576 653667247 756048864 1307334494 1512097728 1961001741 2614668988 3922003482 5229337976 7844006964 10458675952 15688013928 20917351904 31376027856 41834703808 62752055712 125504111424