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48469330800 = 243452113141107
BaseRepresentation
bin101101001000111111…
…110100101101110000
311122002220121010020000
4231020333310231300
51243231122041200
634133321550000
73334054341222
oct551077645560
9148086533200
1048469330800
1119612745690
129488345300
1347558cccc7
1424bb326412
1513da2dd300
hexb48ff4b70

48469330800 has 1200 divisors, whose sum is σ = 202541036544. Its totient is φ = 10990080000.

The previous prime is 48469330783. The next prime is 48469330813. The reversal of 48469330800 is 803396484.

48469330800 is a `hidden beast` number, since 484 + 6 + 93 + 3 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 452984347 + ... + 452984453.

Almost surely, 248469330800 is an apocalyptic number.

48469330800 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 48469330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101270518272).

48469330800 is an abundant number, since it is smaller than the sum of its proper divisors (154071705744).

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

48469330800 is a wasteful number, since it uses less digits than its factorization.

48469330800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 48469330800 in words is "forty-eight billion, four hundred sixty-nine million, three hundred thirty thousand, eight hundred".