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48066237648 = 2433111317371237
BaseRepresentation
bin101100110000111110…
…001001010011010000
311121001211002212101000
4230300332021103100
51241414424101043
634025322142000
73321061164432
oct546076112320
9147054085330
1048066237648
1119426157850
129395351900
1346c0247850
14247d998652
1513b4c182d3
hexb30f894d0

48066237648 has 640 divisors, whose sum is σ = 176403709440. Its totient is φ = 12302254080.

The previous prime is 48066237617. The next prime is 48066237679. The reversal of 48066237648 is 84673266084.

48066237648 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 623 + 7 + 6 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (48066237617) and next prime (48066237679).

It is a super-3 number, since 3×480662376483 (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48066237594 and 48066237603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38856486 + ... + 38857722.

It is an arithmetic number, because the mean of its divisors is an integer number (275630796).

Almost surely, 248066237648 is an apocalyptic number.

48066237648 is a gapful number since it is divisible by the number (48) 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 48066237648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88201854720).

48066237648 is an abundant number, since it is smaller than the sum of its proper divisors (128337471792).

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

48066237648 is a wasteful number, since it uses less digits than its factorization.

48066237648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 48066237648 in words is "forty-eight billion, sixty-six million, two hundred thirty-seven thousand, six hundred forty-eight".