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47490442560 = 263751131199
BaseRepresentation
bin101100001110101001…
…101010010101000000
311112120200122110000000
4230032221222111000
51234230023130220
633452233000000
73300600046521
oct541651522500
9145520573000
1047490442560
1119160131440
129254553000
13462ab752b2
142427312848
15137e3cc390
hexb0ea6a540

47490442560 has 896 divisors, whose sum is σ = 191950848000. Its totient is φ = 11085465600.

The previous prime is 47490442553. The next prime is 47490442567. The reversal of 47490442560 is 6524409474.

47490442560 is a `hidden beast` number, since 4 + 7 + 49 + 0 + 4 + 42 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (47490442553) and next prime (47490442567).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47490442567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 238645341 + ... + 238645539.

Almost surely, 247490442560 is an apocalyptic number.

47490442560 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 47490442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95975424000).

47490442560 is an abundant number, since it is smaller than the sum of its proper divisors (144460405440).

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

47490442560 is a wasteful number, since it uses less digits than its factorization.

47490442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 47490442560 in words is "forty-seven billion, four hundred ninety million, four hundred forty-two thousand, five hundred sixty".