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48228180295680 = 2173757111923
BaseRepresentation
bin10101111011100111111111…
…00011100000000000000000
320022202120100210210110000000
422331303333203200000000
522310132303123430210
6250323415320000000
713105241160423360
oct1275637743400000
9208676323713000
1048228180295680
111440450251a770
1254aab40000000
1320bab89874158
14bca38371c9a0
155897d40d3ac0
hex2bdcff8e0000

48228180295680 has 4608 divisors, whose sum is σ = 237725532979200. Its totient is φ = 9081213419520.

The previous prime is 48228180295637. The next prime is 48228180295681. The reversal of 48228180295680 is 8659208182284.

48228180295680 is a `hidden beast` number, since 4 + 8 + 2 + 281 + 8 + 0 + 295 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×482281802956802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48228180295681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2096877404149 + ... + 2096877404171.

It is an arithmetic number, because the mean of its divisors is an integer number (51589742400).

Almost surely, 248228180295680 is an apocalyptic number.

48228180295680 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 48228180295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118862766489600).

48228180295680 is an abundant number, since it is smaller than the sum of its proper divisors (189497352683520).

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

48228180295680 is an frugal number, since it uses more digits than its factorization.

48228180295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 48228180295680 in words is "forty-eight trillion, two hundred twenty-eight billion, one hundred eighty million, two hundred ninety-five thousand, six hundred eighty".