Search a number
-
+
54458734344 = 233719109193811
BaseRepresentation
bin110010101101111111…
…100101011100001000
312012120022201100021220
4302231333211130020
51343012413444334
641003515402040
73635352414150
oct625577453410
9165508640256
1054458734344
1121106599173
12a67a153320
13519b728881
1428c8977760
15163b031449
hexcadfe5708

54458734344 has 256 divisors, whose sum is σ = 166349568000. Its totient is φ = 14511882240.

The previous prime is 54458734313. The next prime is 54458734349. The reversal of 54458734344 is 44343785445.

It is a super-2 number, since 2×544587343442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54458734349) 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, 67149699 + ... + 67150509.

It is an arithmetic number, because the mean of its divisors is an integer number (649803000).

Almost surely, 254458734344 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 54458734344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83174784000).

54458734344 is an abundant number, since it is smaller than the sum of its proper divisors (111890833656).

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

54458734344 is a wasteful number, since it uses less digits than its factorization.

54458734344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1144 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 51.

The spelling of 54458734344 in words is "fifty-four billion, four hundred fifty-eight million, seven hundred thirty-four thousand, three hundred forty-four".