Search a number
-
+
48343111200 = 25335223314373
BaseRepresentation
bin101101000001011110…
…010101011000100000
311121210010002111111000
4231001132111120200
51243001314024300
634113012352000
73330662444106
oct550136253040
9147703074430
1048343111200
1119558475a6a
129452015600
134735709157
1424a866bc76
1513ce1a9c00
hexb41795620

48343111200 has 1152 divisors, whose sum is σ = 195347496960. Its totient is φ = 11496038400.

The previous prime is 48343111153. The next prime is 48343111207. The reversal of 48343111200 is 211134384.

48343111200 is a `hidden beast` number, since 4 + 8 + 343 + 111 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48343111207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 662234364 + ... + 662234436.

It is an arithmetic number, because the mean of its divisors is an integer number (169572480).

Almost surely, 248343111200 is an apocalyptic number.

48343111200 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 48343111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97673748480).

48343111200 is an abundant number, since it is smaller than the sum of its proper divisors (147004385760).

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

48343111200 is a wasteful number, since it uses less digits than its factorization.

48343111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 48343111200 its reverse (211134384), we get a palindrome (48554245584).

The spelling of 48343111200 in words is "forty-eight billion, three hundred forty-three million, one hundred eleven thousand, two hundred".