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48463872105 = 35114724125931
BaseRepresentation
bin101101001000101011…
…000000000001101001
311122002112022210022010
4231020223000001221
51243223222401410
634133004550133
73333660054525
oct551053000151
9148075283263
1048463872105
111960a657470
129486552349
13475473b4cc
1424ba704d85
1513d9ab0c20
hexb48ac0069

48463872105 has 64 divisors (see below), whose sum is σ = 86753120256. Its totient is φ = 22901376000.

The previous prime is 48463872089. The next prime is 48463872133. The reversal of 48463872105 is 50127836484.

It is not a de Polignac number, because 48463872105 - 24 = 48463872089 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1855990 + ... + 1881920.

It is an arithmetic number, because the mean of its divisors is an integer number (1355517504).

Almost surely, 248463872105 is an apocalyptic number.

It is an amenable number.

48463872105 is a deficient number, since it is larger than the sum of its proper divisors (38289248151).

48463872105 is a wasteful number, since it uses less digits than its factorization.

48463872105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26238.

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 48463872105 in words is "forty-eight billion, four hundred sixty-three million, eight hundred seventy-two thousand, one hundred five".

Divisors: 1 3 5 11 15 33 47 55 141 165 235 241 517 705 723 1205 1551 2585 2651 3615 7755 7953 11327 13255 25931 33981 39765 56635 77793 124597 129655 169905 285241 373791 388965 622985 855723 1218757 1426205 1868955 3656271 4278615 6093785 6249371 13406327 18281355 18748113 31246855 40218981 67031635 68743081 93740565 201094905 206229243 293720437 343715405 881161311 1031146215 1468602185 3230924807 4405806555 9692774421 16154624035 48463872105