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48846984480 = 25325719255049
BaseRepresentation
bin101101011111100000…
…011101010100100000
311200002020012220200100
4231133200131110200
51300014312000410
634235012222400
73346321342320
oct553740352440
9150066186610
1048846984480
1119796938468
12957290aa00
1347b5c19218
142515551280
15140d53a8c0
hexb5f81d520

48846984480 has 288 divisors, whose sum is σ = 200530512000. Its totient is φ = 10577350656.

The previous prime is 48846984479. The next prime is 48846984481. The reversal of 48846984480 is 8448964884.

It is an interprime number because it is at equal distance from previous prime (48846984479) and next prime (48846984481).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) 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 (63).

It is not an unprimeable number, because it can be changed into a prime (48846984481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63996 + ... + 319044.

It is an arithmetic number, because the mean of its divisors is an integer number (696286500).

Almost surely, 248846984480 is an apocalyptic number.

48846984480 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 48846984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100265256000).

48846984480 is an abundant number, since it is smaller than the sum of its proper divisors (151683527520).

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

48846984480 is a wasteful number, since it uses less digits than its factorization.

48846984480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255096 (or 255085 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 48846984480 in words is "forty-eight billion, eight hundred forty-six million, nine hundred eighty-four thousand, four hundred eighty".