Search a number
-
+
5717690769546 = 2337192291499697
BaseRepresentation
bin101001100110100000011…
…1011010110000010001010
3202020121100200220201202000
41103031000323112002022
51222134312314111141
620054400524251430
71130042464435230
oct123150073260212
922217320821660
105717690769546
11190494a41a158
127841630a0b76
13326239681482
1415aa483c0950
159dae494d5b6
hex53340ed608a

5717690769546 has 384 divisors, whose sum is σ = 15962132160000. Its totient is φ = 1484096753664.

The previous prime is 5717690769541. The next prime is 5717690769547. The reversal of 5717690769546 is 6459670967175.

5717690769546 is a `hidden beast` number, since 5 + 7 + 1 + 7 + 6 + 9 + 0 + 76 + 9 + 546 = 666.

It is a super-2 number, since 2×57176907695462 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5717690769541) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 589630170 + ... + 589639866.

It is an arithmetic number, because the mean of its divisors is an integer number (41568052500).

Almost surely, 25717690769546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5717690769546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7981066080000).

5717690769546 is an abundant number, since it is smaller than the sum of its proper divisors (10244441390454).

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

5717690769546 is a wasteful number, since it uses less digits than its factorization.

5717690769546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9931 (or 9906 counting only the distinct ones).

The product of its (nonzero) digits is 600112800, while the sum is 72.

The spelling of 5717690769546 in words is "five trillion, seven hundred seventeen billion, six hundred ninety million, seven hundred sixty-nine thousand, five hundred forty-six".