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48043316160 = 2638572467
BaseRepresentation
bin101100101111100110…
…101101001111000000
311121000012222100000000
4230233212231033000
51241343042104120
634023143000000
73320362310100
oct545746551700
9147005870000
1048043316160
1119414221574
129389739000
1346b8580738
14247a90d200
1513b2bdb990
hexb2f9ad3c0

48043316160 has 756 divisors, whose sum is σ = 200039109192. Its totient is φ = 10957814784.

The previous prime is 48043316129. The next prime is 48043316161. The reversal of 48043316160 is 6161334084.

It is a happy number.

48043316160 is a `hidden beast` number, since 4 + 8 + 0 + 4 + 3 + 31 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48043316161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 102876247 + ... + 102876713.

Almost surely, 248043316160 is an apocalyptic number.

48043316160 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 48043316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100019554596).

48043316160 is an abundant number, since it is smaller than the sum of its proper divisors (151995793032).

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

48043316160 is an frugal number, since it uses more digits than its factorization.

48043316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 48043316160 in words is "forty-eight billion, forty-three million, three hundred sixteen thousand, one hundred sixty".