Search a number
-
+
48787548480 = 26335112232029
BaseRepresentation
bin101101011011111101…
…101110100101000000
311122221002101020211000
4231123331232211000
51244404103022410
634225050252000
73345000214446
oct553375564500
9148832336730
1048787548480
1119766332300
129556a27000
1347a6808ba8
14250b6bcb96
1514081e9dc0
hexb5bf6e940

48787548480 has 672 divisors, whose sum is σ = 197503084800. Its totient is φ = 11307479040.

The previous prime is 48787548473. The next prime is 48787548517. The reversal of 48787548480 is 8484578784.

48787548480 is a `hidden beast` number, since 4 + 8 + 7 + 8 + 7 + 548 + 4 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24044106 + ... + 24046134.

It is an arithmetic number, because the mean of its divisors is an integer number (293903400).

Almost surely, 248787548480 is an apocalyptic number.

48787548480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48787548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98751542400).

48787548480 is an abundant number, since it is smaller than the sum of its proper divisors (148715536320).

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

48787548480 is a wasteful number, since it uses less digits than its factorization.

48787548480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 64225280, while the sum is 63.

The spelling of 48787548480 in words is "forty-eight billion, seven hundred eighty-seven million, five hundred forty-eight thousand, four hundred eighty".