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48128878384 = 24293113732437
BaseRepresentation
bin101100110100101101…
…000110011100110000
311121020011222100022021
4230310231012130300
51242031443102014
634035440521224
73322451500456
oct546455063460
9147204870267
1048128878384
1119458551754
1293b2320214
13470020a782
1424880229d6
1513ba48d624
hexb34b46730

48128878384 has 80 divisors (see below), whose sum is σ = 99690405120. Its totient is φ = 22459530240.

The previous prime is 48128878373. The next prime is 48128878393. The reversal of 48128878384 is 48387882184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19748014 + ... + 19750450.

It is an arithmetic number, because the mean of its divisors is an integer number (1246130064).

Almost surely, 248128878384 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 48128878384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49845202560).

48128878384 is an abundant number, since it is smaller than the sum of its proper divisors (51561526736).

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

48128878384 is a wasteful number, since it uses less digits than its factorization.

48128878384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3872 counting only the distinct ones).

The product of its digits is 22020096, while the sum is 61.

The spelling of 48128878384 in words is "forty-eight billion, one hundred twenty-eight million, eight hundred seventy-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1373 1798 2437 2746 3596 4874 5492 7192 9748 10984 14384 19496 21968 38992 39817 42563 70673 75547 79634 85126 141346 151094 159268 170252 282692 302188 318536 340504 565384 604376 637072 681008 1130768 1208752 1234327 2190863 2468654 3346001 4381726 4937308 6692002 8763452 9874616 13384004 17526904 19749232 26768008 35053808 53536016 97034029 103726031 194068058 207452062 388136116 414904124 776272232 829808248 1552544464 1659616496 3008054899 6016109798 12032219596 24064439192 48128878384