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48223014840 = 233257311132731
BaseRepresentation
bin101100111010010100…
…001100111110111000
311121110202002222020200
4230322110030332320
51242230042433330
634053042322200
73325003602000
oct547224147670
9147422088220
1048223014840
11194a66a8880
129419959360
13471687a410
142496729000
1513c3885a60
hexb3a50cfb8

48223014840 has 768 divisors, whose sum is σ = 214800768000. Its totient is φ = 9246182400.

The previous prime is 48223014821. The next prime is 48223014913. The reversal of 48223014840 is 4841032284.

48223014840 is a `hidden beast` number, since 482 + 2 + 30 + 148 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 48223014795 and 48223014804.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 17656275 + ... + 17659005.

It is an arithmetic number, because the mean of its divisors is an integer number (279688500).

Almost surely, 248223014840 is an apocalyptic number.

48223014840 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 48223014840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107400384000).

48223014840 is an abundant number, since it is smaller than the sum of its proper divisors (166577753160).

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

48223014840 is a wasteful number, since it uses less digits than its factorization.

48223014840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 48223014840 in words is "forty-eight billion, two hundred twenty-three million, fourteen thousand, eight hundred forty".