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48705432688 = 241110912719991
BaseRepresentation
bin101101010111000100…
…011110110001110000
311122201100212100010101
4231113010132301300
51244222042321223
634212554242144
73342652230013
oct552704366160
9148640770111
1048705432688
1119723a46510
129533426354
1347927b7773
14250082537a
151400dc94ad
hexb5711ec70

48705432688 has 80 divisors (see below), whose sum is σ = 104713297920. Its totient is φ = 21761913600.

The previous prime is 48705432679. The next prime is 48705432709. The reversal of 48705432688 is 88623450784.

48705432688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2426373 + ... + 2446363.

It is an arithmetic number, because the mean of its divisors is an integer number (1308916224).

Almost surely, 248705432688 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 48705432688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52356648960).

48705432688 is an abundant number, since it is smaller than the sum of its proper divisors (56007865232).

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

48705432688 is a wasteful number, since it uses less digits than its factorization.

48705432688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20246 (or 20240 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 55.

The spelling of 48705432688 in words is "forty-eight billion, seven hundred five million, four hundred thirty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 109 127 176 218 254 436 508 872 1016 1199 1397 1744 2032 2398 2794 4796 5588 9592 11176 13843 19184 19991 22352 27686 39982 55372 79964 110744 152273 159928 219901 221488 304546 319856 439802 609092 879604 1218184 1759208 2179019 2436368 2538857 3518416 4358038 5077714 8716076 10155428 17432152 20310856 23969209 27927427 34864304 40621712 47938418 55854854 95876836 111709708 191753672 223419416 276735413 383507344 446838832 553470826 1106941652 2213883304 3044089543 4427766608 6088179086 12176358172 24352716344 48705432688