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47006930880 = 263557213273
BaseRepresentation
bin101011110001110101…
…001101011111000000
311111022222211111200000
4223301311031133000
51232232233242010
633332241400000
73252606214500
oct536165153700
9144288744600
1047006930880
1118a32206a08
12913a639000
134581944100
1423bd00da00
151351c1e7c0
hexaf1d4d7c0

47006930880 has 1512 divisors, whose sum is σ = 214098694992. Its totient is φ = 9782083584.

The previous prime is 47006930837. The next prime is 47006930881. The reversal of 47006930880 is 8803960074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1512).

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 (47006930881) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 643930524 + ... + 643930596.

It is an arithmetic number, because the mean of its divisors is an integer number (141599666).

Almost surely, 247006930880 is an apocalyptic number.

47006930880 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 47006930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107049347496).

47006930880 is an abundant number, since it is smaller than the sum of its proper divisors (167091764112).

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

47006930880 is a wasteful number, since it uses less digits than its factorization.

47006930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 47006930880 in words is "forty-seven billion, six million, nine hundred thirty thousand, eight hundred eighty".