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48122811072 = 2633717232309
BaseRepresentation
bin101100110100010101…
…111101001011000000
311121012202120002112000
4230310111331023000
51242023414423242
634035102504000
73322346100510
oct546425751300
9147182502460
1048122811072
1119455088246
1293b0295000
1346cbb94c4b
1424872c3840
1513b9b90a4c
hexb3457d2c0

48122811072 has 224 divisors, whose sum is σ = 161846361600. Its totient is φ = 13735443456.

The previous prime is 48122811071. The next prime is 48122811073. The reversal of 48122811072 is 27011822184.

It is a happy number.

48122811072 is a `hidden beast` number, since 481 + 22 + 81 + 10 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (48122811071) and next prime (48122811073).

It is a tau number, because it is divible by the number of its divisors (224).

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 (48122811071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20840254 + ... + 20842562.

It is an arithmetic number, because the mean of its divisors is an integer number (722528400).

Almost surely, 248122811072 is an apocalyptic number.

48122811072 is a gapful number since it is divisible by the number (42) 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 48122811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80923180800).

48122811072 is an abundant number, since it is smaller than the sum of its proper divisors (113723550528).

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

48122811072 is a wasteful number, since it uses less digits than its factorization.

48122811072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 48122811072 in words is "forty-eight billion, one hundred twenty-two million, eight hundred eleven thousand, seventy-two".