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47768932228 = 22414576171033
BaseRepresentation
bin101100011111010000…
…000000111110000100
311120022002200012000011
4230133100000332010
51240312321312403
633540022000004
73310521136663
oct543720007604
9146262605004
1047768932228
1119293353896
129311876004
134673781394
1424522c6dda
151398a8ca6d
hexb1f400f84

47768932228 has 48 divisors (see below), whose sum is σ = 86044243824. Its totient is φ = 23190773760.

The previous prime is 47768932193. The next prime is 47768932229. The reversal of 47768932228 is 82223986774.

It can be written as a sum of positive squares in 8 ways, for example, as 348643584 + 47420288644 = 18672^2 + 217762^2 .

It is a super-3 number, since 3×477689322283 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (47768932229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46242400 + ... + 46243432.

It is an arithmetic number, because the mean of its divisors is an integer number (1792588413).

Almost surely, 247768932228 is an apocalyptic number.

It is an amenable number.

47768932228 is a deficient number, since it is larger than the sum of its proper divisors (38275311596).

47768932228 is a wasteful number, since it uses less digits than its factorization.

47768932228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2150 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 58.

The spelling of 47768932228 in words is "forty-seven billion, seven hundred sixty-eight million, nine hundred thirty-two thousand, two hundred twenty-eight".

Divisors: 1 2 4 41 82 164 457 617 914 1033 1234 1828 2066 2468 4132 18737 25297 37474 42353 50594 74948 84706 101188 169412 281969 472081 563938 637361 944162 1127876 1274722 1888324 2549444 11560729 19355321 23121458 26131801 38710642 46242916 52263602 77421284 104527204 291273977 582547954 1165095908 11942233057 23884466114 47768932228