Search a number
-
+
41548764096 = 2632773141161
BaseRepresentation
bin100110101100011111…
…111101001111000000
310222020121022220102200
4212230133331033000
51140042440422341
631030502113200
73000421445010
oct465437751700
9128217286380
1041548764096
1116691215474
12807671b800
133bc1bb9518
142022165c40
151132964db6
hex9ac7fd3c0

41548764096 has 168 divisors, whose sum is σ = 137970609504. Its totient is φ = 11708375040.

The previous prime is 41548764067. The next prime is 41548764139. The reversal of 41548764096 is 69046784514.

41548764096 is a `hidden beast` number, since 4 + 1 + 548 + 7 + 6 + 4 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223756 + ... + 364916.

It is an arithmetic number, because the mean of its divisors is an integer number (821253628).

Almost surely, 241548764096 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 41548764096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68985304752).

41548764096 is an abundant number, since it is smaller than the sum of its proper divisors (96421845408).

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

41548764096 is a wasteful number, since it uses less digits than its factorization.

41548764096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141259 (or 141246 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 41548764096 in words is "forty-one billion, five hundred forty-eight million, seven hundred sixty-four thousand, ninety-six".