Search a number
-
+
474447234816 = 28334116310271
BaseRepresentation
bin1101110011101110100…
…00100100011100000000
31200100122001011202011000
412321313100210130000
530233131443003231
61001542534452000
746164146645562
oct6716720443400
91610561152130
10474447234816
11173237105845
1277b4b504000
1335981246589
1418d6b6ab332
15c51c6736e6
hex6e77424700

474447234816 has 288 divisors, whose sum is σ = 1446202275840. Its totient is φ = 153330278400.

The previous prime is 474447234761. The next prime is 474447234853. The reversal of 474447234816 is 618432744474.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46187761 + ... + 46198031.

It is an arithmetic number, because the mean of its divisors is an integer number (5021535680).

Almost surely, 2474447234816 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 474447234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723101137920).

474447234816 is an abundant number, since it is smaller than the sum of its proper divisors (971755041024).

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

474447234816 is a wasteful number, since it uses less digits than its factorization.

474447234816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10500 (or 10480 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The spelling of 474447234816 in words is "four hundred seventy-four billion, four hundred forty-seven million, two hundred thirty-four thousand, eight hundred sixteen".