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48347619840 = 29325133141127
BaseRepresentation
bin101101000001101111…
…100010001000000000
311121210102120120011200
4231001233202020000
51243003442313330
634113253141200
73331045662612
oct550157421000
9147712516150
1048347619840
111955aa75413
12945362a800
1347366273a0
1424a90c2db2
1513ce79aa60
hexb41be2200

48347619840 has 960 divisors, whose sum is σ = 192179699712. Its totient is φ = 11147673600.

The previous prime is 48347619731. The next prime is 48347619841. The reversal of 48347619840 is 4891674384.

48347619840 is a `hidden beast` number, since 4 + 83 + 476 + 1 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (48347619841) 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 95 ways as a sum of consecutive naturals, for example, 380689857 + ... + 380689983.

Almost surely, 248347619840 is an apocalyptic number.

48347619840 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 48347619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96089849856).

48347619840 is an abundant number, since it is smaller than the sum of its proper divisors (143832079872).

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

48347619840 is a wasteful number, since it uses less digits than its factorization.

48347619840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 48347619840 in words is "forty-eight billion, three hundred forty-seven million, six hundred nineteen thousand, eight hundred forty".