Search a number
-
+
47947481568 = 2532736173109
BaseRepresentation
bin101100101001111001…
…001000000111100000
311120202112122102122200
4230221321020013200
51241144023402233
634005440533200
73315116604000
oct545171100740
9146675572580
1047947481568
1119375115628
129361621200
1346a1767b8c
14246bcc4000
1513a95ab313
hexb29e481e0

47947481568 has 576 divisors, whose sum is σ = 165333168000. Its totient is φ = 13168189440.

The previous prime is 47947481537. The next prime is 47947481579. The reversal of 47947481568 is 86518474974.

47947481568 is a `hidden beast` number, since 4 + 7 + 9 + 474 + 8 + 156 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (54190080) is a multiple of the sum of its prime factors (280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 439885098 + ... + 439885206.

It is an arithmetic number, because the mean of its divisors is an integer number (287036750).

Almost surely, 247947481568 is an apocalyptic number.

47947481568 is a gapful number since it is divisible by the number (48) 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 47947481568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82666584000).

47947481568 is an abundant number, since it is smaller than the sum of its proper divisors (117385686432).

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

47947481568 is a wasteful number, since it uses less digits than its factorization.

47947481568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 255 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 47947481568 in words is "forty-seven billion, nine hundred forty-seven million, four hundred eighty-one thousand, five hundred sixty-eight".