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48923475840 = 27325173171227
BaseRepresentation
bin101101100100000100…
…001111111110000000
311200021120011002002200
4231210010033332000
51300143402211330
634250343513200
73351240453231
oct554404177600
9150246132080
1048923475840
1119826032568
129594458800
1347c8a1b595
142521783088
1514150e9a60
hexb6410ff80

48923475840 has 768 divisors, whose sum is σ = 188072202240. Its totient is φ = 11663769600.

The previous prime is 48923475833. The next prime is 48923475847. The reversal of 48923475840 is 4857432984.

48923475840 is a `hidden beast` number, since 4 + 8 + 92 + 3 + 475 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48923475833) and next prime (48923475847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48923475847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215521807 + ... + 215522033.

It is an arithmetic number, because the mean of its divisors is an integer number (244885680).

Almost surely, 248923475840 is an apocalyptic number.

48923475840 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 48923475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94036101120).

48923475840 is an abundant number, since it is smaller than the sum of its proper divisors (139148726400).

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

48923475840 is a wasteful number, since it uses less digits than its factorization.

48923475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 48923475840 in words is "forty-eight billion, nine hundred twenty-three million, four hundred seventy-five thousand, eight hundred forty".