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48002347008 = 212347111879
BaseRepresentation
bin101100101101001010…
…011011000000000000
311120220100212212220000
4230231022123000000
51241302100101013
634015120520000
73316354134360
oct545512330000
9146810785800
1048002347008
11193a3089870
129377a80000
1346acc37a35
1424752c69a0
1513ae2e7973
hexb2d29b000

48002347008 has 520 divisors, whose sum is σ = 178875713280. Its totient is φ = 12461506560.

The previous prime is 48002346961. The next prime is 48002347009. The reversal of 48002347008 is 80074320084.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48002347009) 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 39 ways as a sum of consecutive naturals, for example, 25545813 + ... + 25547691.

Almost surely, 248002347008 is an apocalyptic number.

48002347008 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 48002347008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89437856640).

48002347008 is an abundant number, since it is smaller than the sum of its proper divisors (130873366272).

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

48002347008 is a wasteful number, since it uses less digits than its factorization.

48002347008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 48002347008 in words is "forty-eight billion, two million, three hundred forty-seven thousand, eight".