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48028212456 = 2337173141101131
BaseRepresentation
bin101100101110101101…
…000101110011101000
311120222011112222121120
4230232231011303220
51241330210244311
634021443135240
73320120033010
oct545655056350
9146864488546
1048028212456
1119406745974
129384674520
1346b53c2b33
1424788dac40
1513b1706706
hexb2eb45ce8

48028212456 has 512 divisors, whose sum is σ = 156346122240. Its totient is φ = 11980800000.

The previous prime is 48028212413. The next prime is 48028212457. The reversal of 48028212456 is 65421282084.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (48028212457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 366627511 + ... + 366627641.

It is an arithmetic number, because the mean of its divisors is an integer number (305363520).

Almost surely, 248028212456 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 48028212456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78173061120).

48028212456 is an abundant number, since it is smaller than the sum of its proper divisors (108317909784).

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

48028212456 is a wasteful number, since it uses less digits than its factorization.

48028212456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 48028212456 in words is "forty-eight billion, twenty-eight million, two hundred twelve thousand, four hundred fifty-six".