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5303275776 = 283211811949
BaseRepresentation
bin1001111000001100…
…11001000100000000
3111200121001022201100
410330012121010000
541330114311101
62234123334400
7245264046261
oct47406310400
914617038640
105303275776
112281619647
121040081400
13666935706
14384488968
152108b0e86
hex13c199100

5303275776 has 108 divisors (see below), whose sum is σ = 15311450700. Its totient is φ = 1765355520.

The previous prime is 5303275753. The next prime is 5303275777. The reversal of 5303275776 is 6775723035.

5303275776 is a `hidden beast` number, since 5 + 303 + 275 + 7 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4593586176 + 709689600 = 67776^2 + 26640^2 .

It is not an unprimeable number, because it can be changed into a prime (5303275777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2720050 + ... + 2721998.

Almost surely, 25303275776 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 5303275776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7655725350).

5303275776 is an abundant number, since it is smaller than the sum of its proper divisors (10008174924).

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

5303275776 is a wasteful number, since it uses less digits than its factorization.

5303275776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 45.

The square root of 5303275776 is about 72823.5935394567. The cubic root of 5303275776 is about 1743.8725322767.

The spelling of 5303275776 in words is "five billion, three hundred three million, two hundred seventy-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1181 1949 2304 2362 3543 3898 4724 5847 7086 7796 9448 10629 11694 14172 15592 17541 18896 21258 23388 28344 31184 35082 37792 42516 46776 56688 62368 70164 75584 85032 93552 113376 124736 140328 151168 170064 187104 226752 249472 280656 302336 340128 374208 453504 498944 561312 680256 748416 907008 1122624 1360512 1496832 2245248 2301769 2721024 4490496 4603538 6905307 9207076 13810614 18414152 20715921 27621228 36828304 41431842 55242456 73656608 82863684 110484912 147313216 165727368 220969824 294626432 331454736 441939648 589252864 662909472 883879296 1325818944 1767758592 2651637888 5303275776