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32442886344 = 23311928113241
BaseRepresentation
bin11110001101101111…
…110010100011001000
310002202000000101110010
4132031233302203020
51012420334330334
622523135351520
72225651661321
oct361557624310
9102660011403
1032442886344
1112839188770
1263550825a0
1330a051828b
1417daa6d448
15c9d3220e9
hex78dbf28c8

32442886344 has 64 divisors (see below), whose sum is σ = 88496815680. Its totient is φ = 9829376000.

The previous prime is 32442886297. The next prime is 32442886387. The reversal of 32442886344 is 44368824423.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 32442886293 and 32442886302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2443564 + ... + 2456804.

It is an arithmetic number, because the mean of its divisors is an integer number (1382762745).

Almost surely, 232442886344 is an apocalyptic number.

It is an amenable number.

32442886344 is an abundant number, since it is smaller than the sum of its proper divisors (56053929336).

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

32442886344 is a wasteful number, since it uses less digits than its factorization.

32442886344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22542 (or 22538 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 48.

The spelling of 32442886344 in words is "thirty-two billion, four hundred forty-two million, eight hundred eighty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 9281 13241 18562 26482 27843 37124 39723 52964 55686 74248 79446 102091 105928 111372 145651 158892 204182 222744 291302 306273 317784 408364 436953 582604 612546 816728 873906 1165208 1225092 1747812 2450184 3495624 122889721 245779442 368669163 491558884 737338326 983117768 1351786931 1474676652 2703573862 2949353304 4055360793 5407147724 8110721586 10814295448 16221443172 32442886344