Search a number
-
+
45327457560 = 233571143114083
BaseRepresentation
bin101010001101101110…
…100001110100011000
311022222221121102101110
4222031232201310120
51220312312120220
632453444420320
73163154014020
oct521556416430
9138887542343
1045327457560
1118250193830
1289500a76a0
134374a03908
14229dd4ca80
1512a4572be0
hexa8dba1d18

45327457560 has 256 divisors, whose sum is σ = 173480693760. Its totient is φ = 9199572480.

The previous prime is 45327457541. The next prime is 45327457589. The reversal of 45327457560 is 6575472354.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340279 + ... + 454361.

It is an arithmetic number, because the mean of its divisors is an integer number (677658960).

Almost surely, 245327457560 is an apocalyptic number.

45327457560 is a gapful number since it is divisible by the number (40) 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 45327457560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86740346880).

45327457560 is an abundant number, since it is smaller than the sum of its proper divisors (128153236200).

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

45327457560 is a wasteful number, since it uses less digits than its factorization.

45327457560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114158 (or 114154 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 48.

The spelling of 45327457560 in words is "forty-five billion, three hundred twenty-seven million, four hundred fifty-seven thousand, five hundred sixty".