Search a number
-
+
47348878104 = 233311199291129
BaseRepresentation
bin101100000110001101…
…101000101100011000
311112012211021020002000
4230012031220230120
51233432303044404
633430214441000
73264230552253
oct540615505430
9145184236060
1047348878104
1119098230a20
129215063160
13460773ab48
1424125c209a
151371c67339
hexb06368b18

47348878104 has 256 divisors, whose sum is σ = 151329600000. Its totient is φ = 13566320640.

The previous prime is 47348878069. The next prime is 47348878111. The reversal of 47348878104 is 40187884374.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41938212 + ... + 41939340.

It is an arithmetic number, because the mean of its divisors is an integer number (591131250).

Almost surely, 247348878104 is an apocalyptic number.

47348878104 is a gapful number since it is divisible by the number (44) 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 47348878104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75664800000).

47348878104 is an abundant number, since it is smaller than the sum of its proper divisors (103980721896).

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

47348878104 is a wasteful number, since it uses less digits than its factorization.

47348878104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 47348878104 in words is "forty-seven billion, three hundred forty-eight million, eight hundred seventy-eight thousand, one hundred four".