Search a number
-
+
48738231360 = 2634571320663
BaseRepresentation
bin101101011001000001…
…100110010001000000
311122210122120200110000
4231121001212101000
51244303441400420
634220125240000
73343531062660
oct553101462100
9148718520400
1048738231360
1119740508655
129542403000
13479952c570
142504d221a0
151403c07690
hexb59066440

48738231360 has 560 divisors, whose sum is σ = 213389358336. Its totient is φ = 10282733568.

The previous prime is 48738231359. The next prime is 48738231361. The reversal of 48738231360 is 6313283784.

48738231360 is a `hidden beast` number, since 487 + 3 + 82 + 31 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (48738231359) and next prime (48738231361).

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×487382313602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48738231361) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2348389 + ... + 2369051.

Almost surely, 248738231360 is an apocalyptic number.

48738231360 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 48738231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106694679168).

48738231360 is an abundant number, since it is smaller than the sum of its proper divisors (164651126976).

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

48738231360 is a wasteful number, since it uses less digits than its factorization.

48738231360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20712 (or 20693 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 48738231360 in words is "forty-eight billion, seven hundred thirty-eight million, two hundred thirty-one thousand, three hundred sixty".