Search a number
-
+
5487354808320 = 2113571117223349
BaseRepresentation
bin100111111011001111111…
…0101011000100000000000
3201102120211012011112201010
41033312133311120200000
51204401100312331240
615400504521240520
71104306524165460
oct117663765304000
921376735145633
105487354808320
1118261a0809320
127475a0033140
1330a5bc4baca8
1414d8373ddba0
1597b1313b280
hex4fd9fd58800

5487354808320 has 2304 divisors, whose sum is σ = 24330668544000. Its totient is φ = 1023556976640.

The previous prime is 5487354808301. The next prime is 5487354808321. The reversal of 5487354808320 is 238084537845.

It is a super-3 number, since 3×54873548083203 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5487354808321) 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, 15723079506 + ... + 15723079854.

It is an arithmetic number, because the mean of its divisors is an integer number (10560186000).

Almost surely, 25487354808320 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 5487354808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12165334272000).

5487354808320 is an abundant number, since it is smaller than the sum of its proper divisors (18843313735680).

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

5487354808320 is a wasteful number, since it uses less digits than its factorization.

5487354808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 5487354808320 in words is "five trillion, four hundred eighty-seven billion, three hundred fifty-four million, eight hundred eight thousand, three hundred twenty".