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7439345376 = 2534313113757
BaseRepresentation
bin1101110110110101…
…10110011011100000
3201012110102220100020
412323122312123200
5110213433023001
63230110553440
7352232251401
oct67332663340
921173386306
107439345376
113178353321
121537508880
13917342118
145080439a8
152d81a0736
hex1bb6b66e0

7439345376 has 96 divisors (see below), whose sum is σ = 20136428928. Its totient is φ = 2403448320.

The previous prime is 7439345357. The next prime is 7439345411. The reversal of 7439345376 is 6735439347.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 533890 + ... + 547646.

It is an arithmetic number, because the mean of its divisors is an integer number (209754468).

Almost surely, 27439345376 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 7439345376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10068214464).

7439345376 is an abundant number, since it is smaller than the sum of its proper divisors (12697083552).

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

7439345376 is a wasteful number, since it uses less digits than its factorization.

7439345376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13944 (or 13936 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 51.

The square root of 7439345376 is about 86251.6398452806. The cubic root of 7439345376 is about 1952.1427575204.

The spelling of 7439345376 in words is "seven billion, four hundred thirty-nine million, three hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 131 172 258 262 344 393 516 524 688 786 1032 1048 1376 1572 2064 2096 3144 4128 4192 5633 6288 11266 12576 13757 16899 22532 27514 33798 41271 45064 55028 67596 82542 90128 110056 135192 165084 180256 220112 270384 330168 440224 540768 591551 660336 1183102 1320672 1774653 1802167 2366204 3549306 3604334 4732408 5406501 7098612 7208668 9464816 10813002 14197224 14417336 18929632 21626004 28394448 28834672 43252008 56788896 57669344 77493181 86504016 154986362 173008032 232479543 309972724 464959086 619945448 929918172 1239890896 1859836344 2479781792 3719672688 7439345376