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7113059689024 = 2643277532
BaseRepresentation
bin110011110000010001101…
…1001010110001001000000
3221012000001100201021001001
41213200203121112021000
51413020021240022044
623043410003021344
71332621151523632
oct147404331261100
927160040637031
107113059689024
1122a26a4837073
1296a68536a854
133c79b29a82c3
141a83b991ca52
15c506122b2d4
hex67823656240

7113059689024 has 63 divisors (see below), whose sum is σ = 14452731109593. Its totient is φ = 3473371786752.

The previous prime is 7113059689009. The next prime is 7113059689063. The reversal of 7113059689024 is 4209869503117.

It is a happy number.

The square root of 7113059689024 is 2667032.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7080069505600 + 32990183424 = 2660840^2 + 181632^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 917455132 + ... + 917462884.

It is an arithmetic number, because the mean of its divisors is an integer number (229408430311).

It is a 1-persistent number, because it is pandigital, but 2⋅7113059689024 = 14226119378048 is not.

Almost surely, 27113059689024 is an apocalyptic number.

7113059689024 is the 2667032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7113059689024

7113059689024 is an abundant number, since it is smaller than the sum of its proper divisors (7339671420569).

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

7113059689024 is an frugal number, since it uses more digits than its factorization.

7113059689024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15604 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 7113059689024 in words is "seven trillion, one hundred thirteen billion, fifty-nine million, six hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 1849 2752 3698 7396 7753 14792 15506 29584 31012 59168 62024 118336 124048 248096 333379 496192 666758 1333516 2667032 5334064 10668128 14335297 21336256 28670594 57341188 60109009 114682376 120218018 229364752 240436036 458729504 480872072 917459008 961744144 1923488288 2584687387 3846976576 5169374774 10338749548 20677499096 41354998192 82709996384 111141557641 165419992768 222283115282 444566230564 889132461128 1778264922256 3556529844512 7113059689024