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325014524432 = 241337129732561
BaseRepresentation
bin1001011101011000110…
…00000001001000010000
31011001220211011112022222
410232230120001020100
520311112204240212
6405150513120212
732324106606113
oct4565430011020
91131824145288
10325014524432
11115924253794
1252ba6859068
132485837c160
1411a333ca57a
1586c379ec72
hex4bac601210

325014524432 has 80 divisors (see below), whose sum is σ = 697042230192. Its totient is φ = 145835458560.

The previous prime is 325014524431. The next prime is 325014524447. The reversal of 325014524432 is 234425410523.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 86932984336 + 238081540096 = 294844^2 + 487936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 325014524392 and 325014524401.

It is not an unprimeable number, because it can be changed into a prime (325014524431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9965432 + ... + 9997992.

Almost surely, 2325014524432 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 325014524432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348521115096).

325014524432 is an abundant number, since it is smaller than the sum of its proper divisors (372027705760).

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

325014524432 is a wasteful number, since it uses less digits than its factorization.

325014524432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33916 (or 33910 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 325014524432 its reverse (234425410523), we get a palindrome (559439934955).

The spelling of 325014524432 in words is "three hundred twenty-five billion, fourteen million, five hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1297 1924 2594 3848 5188 7696 10376 16861 20752 32561 33722 47989 65122 67444 95978 130244 134888 191956 260488 269776 383912 423293 520976 623857 767824 846586 1204757 1247714 1693172 2409514 2495428 3386344 4819028 4990856 6772688 9638056 9981712 15661841 19276112 31323682 42231617 62647364 84463234 125294728 168926468 250589456 337852936 549011021 675705872 1098022042 1562569829 2196044084 3125139658 4392088168 6250279316 8784176336 12500558632 20313407777 25001117264 40626815554 81253631108 162507262216 325014524432