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4946077305 = 3251337228509
BaseRepresentation
bin1001001101100111…
…10010011001111001
3110202200220202112100
410212303302121321
540112143433210
62134443334013
7233365651311
oct44663623171
913680822470
104946077305
112108a280a4
12b60521309
1360a92bb80
1434cc66441
151de3545c0
hex126cf2679

4946077305 has 48 divisors (see below), whose sum is σ = 9482250960. Its totient is φ = 2369170944.

The previous prime is 4946077273. The next prime is 4946077313. The reversal of 4946077305 is 5037706494.

4946077305 is a `hidden beast` number, since 4 + 9 + 4 + 607 + 7 + 30 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 561121344 + 4384955961 = 23688^2 + 66219^2 .

It is not a de Polignac number, because 4946077305 - 25 = 4946077273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92610 + ... + 135899.

It is an arithmetic number, because the mean of its divisors is an integer number (197546895).

Almost surely, 24946077305 is an apocalyptic number.

4946077305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4946077305 is a deficient number, since it is larger than the sum of its proper divisors (4536173655).

4946077305 is a wasteful number, since it uses less digits than its factorization.

4946077305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228570 (or 228567 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4946077305 is about 70328.3534927415. The cubic root of 4946077305 is about 1703.8066146751.

The spelling of 4946077305 in words is "four billion, nine hundred forty-six million, seventy-seven thousand, three hundred five".

Divisors: 1 3 5 9 13 15 37 39 45 65 111 117 185 195 333 481 555 585 1443 1665 2405 4329 7215 21645 228509 685527 1142545 2056581 2970617 3427635 8454833 8911851 10282905 14853085 25364499 26735553 42274165 44559255 76093497 109912829 126822495 133677765 329738487 380467485 549564145 989215461 1648692435 4946077305