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7364385856 = 261726312
BaseRepresentation
bin1101101101111001…
…11001110001000000
3201000020101120012201
412312330321301000
5110040240321411
63214432202544
7350332150462
oct66674716100
921006346181
107364385856
11313a005103
121516399454
13904958089
144dc0d0132
152d17e53c1
hex1b6f39c40

7364385856 has 63 divisors (see below), whose sum is σ = 15548540277. Its totient is φ = 3460101120.

The previous prime is 7364385851. The next prime is 7364385859. The reversal of 7364385856 is 6585834637.

The square root of 7364385856 is 85816.

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., 5733518400 + 1630867456 = 75720^2 + 40384^2 .

It is a super-5 number, since 5×73643858565 (a number of 51 digits) contains 55555 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7364385797 and 7364385806.

It is not an unprimeable number, because it can be changed into a prime (7364385851) by changing a digit.

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, 11670661 + ... + 11671291.

Almost surely, 27364385856 is an apocalyptic number.

7364385856 is the 85816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7364385856

7364385856 is an abundant number, since it is smaller than the sum of its proper divisors (8184154421).

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

7364385856 is an frugal number, since it uses more digits than its factorization.

7364385856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 650 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 55.

The cubic root of 7364385856 is about 1945.5639556547.

The spelling of 7364385856 in words is "seven billion, three hundred sixty-four million, three hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 631 1088 1156 1262 2312 2524 4624 5048 9248 10096 10727 18496 20192 21454 40384 42908 85816 171632 182359 343264 364718 398161 686528 729436 796322 1458872 1592644 2917744 3185288 5835488 6370576 6768737 11670976 12741152 13537474 25482304 27074948 54149896 108299792 115068529 216599584 230137058 433199168 460274116 920548232 1841096464 3682192928 7364385856