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125535443352 = 2331115131310061
BaseRepresentation
bin111010011101001111…
…1101101100110011000
3110000000210002021020220
41310322133231212120
54024044033141402
6133400432120040
712032612443134
oct1647237554630
9400023067226
10125535443352
114926a5376a0
12203b5696020
13bab7c5a837
14610c5883c4
1533eae26dbc
hex1d3a7ed998

125535443352 has 128 divisors (see below), whose sum is σ = 345772177920. Its totient is φ = 37664640000.

The previous prime is 125535443347. The next prime is 125535443393. The reversal of 125535443352 is 253344535521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12472402 + ... + 12482462.

It is an arithmetic number, because the mean of its divisors is an integer number (2701345140).

Almost surely, 2125535443352 is an apocalyptic number.

125535443352 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 125535443352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172886088960).

125535443352 is an abundant number, since it is smaller than the sum of its proper divisors (220236734568).

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

125535443352 is a wasteful number, since it uses less digits than its factorization.

125535443352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10545 (or 10541 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 42.

Adding to 125535443352 its reverse (253344535521), we get a palindrome (378879978873).

The spelling of 125535443352 in words is "one hundred twenty-five billion, five hundred thirty-five million, four hundred forty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 151 264 302 313 453 604 626 906 939 1208 1252 1661 1812 1878 2504 3322 3443 3624 3756 4983 6644 6886 7512 9966 10061 10329 13288 13772 19932 20122 20658 27544 30183 39864 40244 41316 47263 60366 80488 82632 94526 110671 120732 141789 189052 221342 241464 283578 332013 378104 442684 519893 567156 664026 885368 1039786 1134312 1328052 1519211 1559679 2079572 2656104 3038422 3119358 3149093 4159144 4557633 6076844 6238716 6298186 9115266 9447279 12153688 12477432 12596372 16711321 18230532 18894558 25192744 33422642 34640023 36461064 37789116 50133963 66845284 69280046 75578232 100267926 103920069 133690568 138560092 200535852 207840138 277120184 401071704 415680276 475513043 831360552 951026086 1426539129 1902052172 2853078258 3804104344 5230643473 5706156516 10461286946 11412313032 15691930419 20922573892 31383860838 41845147784 62767721676 125535443352