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5005421532 = 2232419473581
BaseRepresentation
bin1001010100101100…
…01010101111011100
3110220211120202111200
410222112022233130
540222341442112
62144403315500
7235016244456
oct45226125734
913824522450
105005421532
112139480311
12b7837bb90
1361a0094b7
14356ab32d6
151e4677cdc
hex12a58abdc

5005421532 has 72 divisors (see below), whose sum is σ = 12978502992. Its totient is φ = 1625606400.

The previous prime is 5005421521. The next prime is 5005421539. The reversal of 5005421532 is 2351245005.

It is a happy number.

5005421532 is a `hidden beast` number, since 500 + 5 + 4 + 2 + 153 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5005421496 and 5005421505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005421539) 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 23 ways as a sum of consecutive naturals, for example, 1395982 + ... + 1399562.

It is an arithmetic number, because the mean of its divisors is an integer number (180256986).

Almost surely, 25005421532 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 5005421532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489251496).

5005421532 is an abundant number, since it is smaller than the sum of its proper divisors (7973081460).

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

5005421532 is a wasteful number, since it uses less digits than its factorization.

5005421532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5005421532 is about 70749.0037527031. The cubic root of 5005421532 is about 1710.5937693817.

Adding to 5005421532 its reverse (2351245005), we get a palindrome (7356666537).

The spelling of 5005421532 in words is "five billion, five million, four hundred twenty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 947 1476 1894 2841 3581 3788 5682 7162 8523 10743 11364 14324 17046 21486 32229 34092 38827 42972 64458 77654 116481 128916 146821 155308 232962 293642 349443 440463 465924 587284 698886 880926 1321389 1397772 1761852 2642778 3391207 5285556 6782414 10173621 13564828 20347242 30520863 40694484 61041726 122083452 139039487 278078974 417118461 556157948 834236922 1251355383 1668473844 2502710766 5005421532