Search a number
-
+
53714717056 = 27711131273301
BaseRepresentation
bin110010000001101001…
…011000100110000000
312010122110201100110001
4302001221120212000
51340001431421211
640402020445344
73611046363430
oct620151304600
9163573640401
1053714717056
1120864614a50
12a4b0b49854
1350b0547260
142857c222c0
1515e5a66ac1
hexc81a58980

53714717056 has 256 divisors, whose sum is σ = 144852664320. Its totient is φ = 19160064000.

The previous prime is 53714717051. The next prime is 53714717059. The reversal of 53714717056 is 65071741735.

It is a super-2 number, since 2×537147170562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53714716997 and 53714717015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53714717051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16270606 + ... + 16273906.

It is an arithmetic number, because the mean of its divisors is an integer number (565830720).

Almost surely, 253714717056 is an apocalyptic number.

53714717056 is a gapful number since it is divisible by the number (56) 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 53714717056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72426332160).

53714717056 is an abundant number, since it is smaller than the sum of its proper divisors (91137947264).

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

53714717056 is a wasteful number, since it uses less digits than its factorization.

53714717056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 46.

The spelling of 53714717056 in words is "fifty-three billion, seven hundred fourteen million, seven hundred seventeen thousand, fifty-six".