Search a number
-
+
546781127086560 = 253531164212237747
BaseRepresentation
bin111110001010010110110011…
…0110110011001000111100000
32122200222202122212110121110210
41330110231212312121013200
51033131430222013232220
65214523440533254120
7223112430023306442
oct17424554666310740
92580882585417423
10546781127086560
1114924863475a863
12513a9a19194340
131a6133152357b2
1499044c2354492
154333072a606e0
hex1f14b66d991e0

546781127086560 has 192 divisors, whose sum is σ = 1778029633787904. Its totient is φ = 141096150988800.

The previous prime is 546781127086549. The next prime is 546781127086619. The reversal of 546781127086560 is 65680721187645.

It is a junction number, because it is equal to n+sod(n) for n = 546781127086491 and 546781127086500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243225607 + ... + 245463353.

It is an arithmetic number, because the mean of its divisors is an integer number (9260571009312).

Almost surely, 2546781127086560 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 546781127086560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889014816893952).

546781127086560 is an abundant number, since it is smaller than the sum of its proper divisors (1231248506701344).

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

546781127086560 is a wasteful number, since it uses less digits than its factorization.

546781127086560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254217 (or 2254209 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 66.

The spelling of 546781127086560 in words is "five hundred forty-six trillion, seven hundred eighty-one billion, one hundred twenty-seven million, eighty-six thousand, five hundred sixty".