Search a number
-
+
8741316304896 = 21337216344533
BaseRepresentation
bin111111100110011111100…
…0011011010000000000000
31010221122212100210112221220
41333030333003122000000
52121204203433224041
630331412201115040
71561352652433200
oct177147703320000
933848770715856
108741316304896
11287019819425a
12b92161188a80
134b53c1a39b96
14223120cb8400
151025ad365d66
hex7f33f0da000

8741316304896 has 336 divisors, whose sum is σ = 27281222718624. Its totient is φ = 2482141003776.

The previous prime is 8741316304891. The next prime is 8741316304993. The reversal of 8741316304896 is 6984036131478.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×87413163048962 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8741316304891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196266246 + ... + 196310778.

It is an arithmetic number, because the mean of its divisors is an integer number (81194115234).

Almost surely, 28741316304896 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 8741316304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13640611359312).

8741316304896 is an abundant number, since it is smaller than the sum of its proper divisors (18539906413728).

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

8741316304896 is a wasteful number, since it uses less digits than its factorization.

8741316304896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44739 (or 44708 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 8741316304896 in words is "eight trillion, seven hundred forty-one billion, three hundred sixteen million, three hundred four thousand, eight hundred ninety-six".