Search a number
-
+
5681774400 = 263526131931
BaseRepresentation
bin1010100101010100…
…01111111101000000
3112122222021001012220
411102222033331000
543114013240100
62335444051040
7260541166641
oct52252177500
915588231186
105681774400
112456239225
121126993a80
136c71893b3
143bc8536c8
15233c28aa0
hex152a8ff40

5681774400 has 168 divisors, whose sum is σ = 18681033504. Its totient is φ = 1511884800.

The previous prime is 5681774393. The next prime is 5681774411. The reversal of 5681774400 is 44771865.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2941435 + ... + 2943365.

It is an arithmetic number, because the mean of its divisors is an integer number (111196628).

Almost surely, 25681774400 is an apocalyptic number.

5681774400 is a gapful number since it is divisible by the number (50) 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 5681774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9340516752).

5681774400 is an abundant number, since it is smaller than the sum of its proper divisors (12999259104).

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

5681774400 is a wasteful number, since it uses less digits than its factorization.

5681774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 5681774400 is about 75377.5457281543. The cubic root of 5681774400 is about 1784.4100554188.

The spelling of 5681774400 in words is "five billion, six hundred eighty-one million, seven hundred seventy-four thousand, four hundred".