Search a number
-
+
5686078734336 = 21837111331233
BaseRepresentation
bin101001010111110010010…
…1101000000000000000000
3202010120202121021221210010
41102233210231000000000
51221130042123444321
620032052024504520
71124543221532250
oct122574455000000
922116677257703
105686078734336
1118a24a8234220
1277a00031b140
1332326c32b5b0
141592c9c2b960
159cd94549676
hex52be4b40000

5686078734336 has 1216 divisors, whose sum is σ = 21105429037056. Its totient is φ = 1313656012800.

The previous prime is 5686078734331. The next prime is 5686078734361. The reversal of 5686078734336 is 6334378706865.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5686078734331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24403771276 + ... + 24403771508.

Almost surely, 25686078734336 is an apocalyptic number.

5686078734336 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 5686078734336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10552714518528).

5686078734336 is an abundant number, since it is smaller than the sum of its proper divisors (15419350302720).

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

5686078734336 is a wasteful number, since it uses less digits than its factorization.

5686078734336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 66.

The spelling of 5686078734336 in words is "five trillion, six hundred eighty-six billion, seventy-eight million, seven hundred thirty-four thousand, three hundred thirty-six".