Search a number
-
+
56717420774224 = 247175361671131217
BaseRepresentation
bin11001110010101100011011…
…01101111100001101010000
321102211010120120110020102011
430321112031231330031100
524413224234204233344
6320343342353232304
714642461363044130
oct1471261555741520
9242733516406364
1056717420774224
11170877a5452701
126440271562694
132585578449322
1410011d022cac0
1568553c290d34
hex33958db7c350

56717420774224 has 640 divisors, whose sum is σ = 141114190113792. Its totient is φ = 21538296299520.

The previous prime is 56717420774153. The next prime is 56717420774237. The reversal of 56717420774224 is 42247702471765.

It is a super-3 number, since 3×567174207742243 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46604289264 + ... + 46604290480.

Almost surely, 256717420774224 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 56717420774224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70557095056896).

56717420774224 is an abundant number, since it is smaller than the sum of its proper divisors (84396769339568).

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

56717420774224 is a wasteful number, since it uses less digits than its factorization.

56717420774224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 36879360, while the sum is 58.

The spelling of 56717420774224 in words is "fifty-six trillion, seven hundred seventeen billion, four hundred twenty million, seven hundred seventy-four thousand, two hundred twenty-four".