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48527640000 = 26335473131
BaseRepresentation
bin101101001100011110…
…010000010111000000
311122020222022112102000
4231030132100113000
51243341033440000
634143203424000
73335363064000
oct551436202700
9148228275360
1048527640000
1119642651204
1294a3985000
134764a074a8
1424c4d84000
1513e04aa000
hexb4c7905c0

48527640000 has 1120 divisors, whose sum is σ = 209482944000. Its totient is φ = 11007360000.

The previous prime is 48527639959. The next prime is 48527640011. The reversal of 48527640000 is 4672584.

48527640000 is a `hidden beast` number, since 4 + 8 + 5 + 2 + 7 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 370439935 + ... + 370440065.

Almost surely, 248527640000 is an apocalyptic number.

48527640000 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 48527640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104741472000).

48527640000 is an abundant number, since it is smaller than the sum of its proper divisors (160955304000).

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

48527640000 is an equidigital number, since it uses as much as digits as its factorization.

48527640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 48527640000 in words is "forty-eight billion, five hundred twenty-seven million, six hundred forty thousand".