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7128860032 = 27767118751
BaseRepresentation
bin1101010001110100…
…11100010110000000
3200101211012121112001
412220322130112000
5104044442010112
63135220113344
7341442211330
oct65072342600
920354177461
107128860032
113029068068
12146b535854
13897c12898
144b8b010c0
152bacbec57
hex1a8e9c580

7128860032 has 64 divisors (see below), whose sum is σ = 16473277440. Its totient is φ = 3009600000.

The previous prime is 7128859981. The next prime is 7128860077. The reversal of 7128860032 is 2300688217.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 7128859973 and 7128860000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 657 + ... + 119407.

It is an arithmetic number, because the mean of its divisors is an integer number (257394960).

Almost surely, 27128860032 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 7128860032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8236638720).

7128860032 is an abundant number, since it is smaller than the sum of its proper divisors (9344417408).

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

7128860032 is a wasteful number, since it uses less digits than its factorization.

7128860032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118839 (or 118827 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 7128860032 is about 84432.5768409327. The cubic root of 7128860032 is about 1924.5979961801.

The spelling of 7128860032 in words is "seven billion, one hundred twenty-eight million, eight hundred sixty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 268 448 469 536 896 938 1072 1876 2144 3752 4288 7504 8576 15008 30016 60032 118751 237502 475004 831257 950008 1662514 1900016 3325028 3800032 6650056 7600064 7956317 13300112 15200128 15912634 26600224 31825268 53200448 55694219 63650536 106400896 111388438 127301072 222776876 254602144 445553752 509204288 891107504 1018408576 1782215008 3564430016 7128860032