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7369056656 = 2413313113189
BaseRepresentation
bin1101101110011101…
…01110000110010000
3201000120011212100022
412313032232012100
5110042434303111
63215120243012
7350416643123
oct66716560620
921016155308
107369056656
113141705375
121517a70468
13905902070
144dc9883ba
152d1e192db
hex1b73ae190

7369056656 has 40 divisors (see below), whose sum is σ = 15425080440. Its totient is φ = 3390206976.

The previous prime is 7369056637. The next prime is 7369056679. The reversal of 7369056656 is 6566509637.

It can be written as a sum of positive squares in 4 ways, for example, as 286151056 + 7082905600 = 16916^2 + 84160^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7369056598 and 7369056607.

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 7 ways as a sum of consecutive naturals, for example, 8510 + ... + 121698.

It is an arithmetic number, because the mean of its divisors is an integer number (385627011).

Almost surely, 27369056656 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 7369056656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7712540220).

7369056656 is an abundant number, since it is smaller than the sum of its proper divisors (8056023784).

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

7369056656 is a wasteful number, since it uses less digits than its factorization.

7369056656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113523 (or 113517 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 53.

The square root of 7369056656 is about 85843.2097256388. The cubic root of 7369056656 is about 1945.9751879371.

The spelling of 7369056656 in words is "seven billion, three hundred sixty-nine million, fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 313 626 1252 2504 4069 5008 8138 16276 32552 65104 113189 226378 452756 905512 1471457 1811024 2942914 5885828 11771656 23543312 35428157 70856314 141712628 283425256 460566041 566850512 921132082 1842264164 3684528328 7369056656