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48181236840 = 233251122943887
BaseRepresentation
bin101100110111110100…
…110101010001101000
311121100211111102121100
4230313310311101220
51242133344034330
634044551041400
73323655520152
oct546764652150
9147324442540
1048181236840
1119485063400
129407970260
13470b0104c9
142490d71ad2
1513bed82060
hexb37d35468

48181236840 has 576 divisors, whose sum is σ = 182399817600. Its totient is φ = 11002844160.

The previous prime is 48181236833. The next prime is 48181236871. The reversal of 48181236840 is 4863218184.

48181236840 is a `hidden beast` number, since 481 + 8 + 123 + 6 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 54318877 + ... + 54319763.

It is an arithmetic number, because the mean of its divisors is an integer number (316666350).

Almost surely, 248181236840 is an apocalyptic number.

48181236840 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 48181236840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91199908800).

48181236840 is an abundant number, since it is smaller than the sum of its proper divisors (134218580760).

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

48181236840 is a wasteful number, since it uses less digits than its factorization.

48181236840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 48181236840 in words is "forty-eight billion, one hundred eighty-one million, two hundred thirty-six thousand, eight hundred forty".