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4145153532 = 22313475310667
BaseRepresentation
bin1111011100010010…
…0000010111111100
3101200212211121122220
43313010200113330
531442124403112
61523153005340
7204502136502
oct36704402774
911625747586
104145153532
111837916223
12978253850
13510a14690
142b473a672
15193d9898c
hexf71205fc

4145153532 has 96 divisors (see below), whose sum is σ = 10839370752. Its totient is φ = 1224627456.

The previous prime is 4145153497. The next prime is 4145153539. The reversal of 4145153532 is 2353515414.

It is a junction number, because it is equal to n+sod(n) for n = 4145153493 and 4145153502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145153539) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 383263 + ... + 393929.

It is an arithmetic number, because the mean of its divisors is an integer number (112910112).

Almost surely, 24145153532 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 4145153532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419685376).

4145153532 is an abundant number, since it is smaller than the sum of its proper divisors (6694217220).

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

4145153532 is a wasteful number, since it uses less digits than its factorization.

4145153532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10787 (or 10785 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 4145153532 is about 64382.8667581679. The cubic root of 4145153532 is about 1606.3747672123.

Adding to 4145153532 its reverse (2353515414), we get a palindrome (6498668946).

The spelling of 4145153532 in words is "four billion, one hundred forty-five million, one hundred fifty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 53 78 94 106 141 156 159 188 212 282 318 564 611 636 689 1222 1378 1833 2067 2444 2491 2756 3666 4134 4982 7332 7473 8268 9964 10667 14946 21334 29892 32001 32383 42668 64002 64766 97149 128004 129532 138671 194298 277342 388596 416013 501349 554684 565351 832026 1002698 1130702 1504047 1664052 1696053 2005396 2261404 3008094 3392106 6016188 6517537 6784212 7349563 13035074 14699126 19552611 22048689 26070148 26571497 29398252 39105222 44097378 53142994 78210444 79714491 88194756 106285988 159428982 318857964 345429461 690858922 1036288383 1381717844 2072576766 4145153532