Search a number
-
+
47423376000 = 27325372111347
BaseRepresentation
bin101100001010101001…
…110100101010000000
311112102000110002222100
4230022221310222000
51234110341013000
633441435310400
73266124021300
oct541251645200
9145360402870
1047423376000
1119126294330
129235bab400
134619cc2a40
14241c455600
151378580a00
hexb0aa74a80

47423376000 has 2304 divisors, whose sum is σ = 237702366720. Its totient is φ = 8902656000.

The previous prime is 47423375971. The next prime is 47423376023. The reversal of 47423376000 is 67332474.

It is a happy number.

47423376000 is a `hidden beast` number, since 4 + 7 + 42 + 3 + 3 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1009007977 + ... + 1009008023.

It is an arithmetic number, because the mean of its divisors is an integer number (103169430).

Almost surely, 247423376000 is an apocalyptic number.

47423376000 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 47423376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118851183360).

47423376000 is an abundant number, since it is smaller than the sum of its proper divisors (190278990720).

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

47423376000 is a wasteful number, since it uses less digits than its factorization.

47423376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 47423376000 in words is "forty-seven billion, four hundred twenty-three million, three hundred seventy-six thousand".