Search a number
-
+
47268513576 = 2335192944129
BaseRepresentation
bin101100000001011011…
…000100011100101000
311112000020001021200000
4230001123010130220
51233301214413301
633414224143000
73262233510324
oct540133043450
9145006037600
1047268513576
1119056930959
1291b2167a60
1345c3bb087b
142405a62984
151369b90786
hexb016c4728

47268513576 has 192 divisors, whose sum is σ = 144569880000. Its totient is φ = 14411851776.

The previous prime is 47268513571. The next prime is 47268513577. The reversal of 47268513576 is 67531586274.

47268513576 is a `hidden beast` number, since 4 + 7 + 2 + 68 + 5 + 1 + 3 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (47268513571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049080 + ... + 1093208.

It is an arithmetic number, because the mean of its divisors is an integer number (752968125).

Almost surely, 247268513576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47268513576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72284940000).

47268513576 is an abundant number, since it is smaller than the sum of its proper divisors (97301366424).

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

47268513576 is a wasteful number, since it uses less digits than its factorization.

47268513576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44198 (or 44182 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 47268513576 in words is "forty-seven billion, two hundred sixty-eight million, five hundred thirteen thousand, five hundred seventy-six".