Search a number
-
+
54415113280 = 265113251509
BaseRepresentation
bin110010101011011001…
…001011110001000000
312012110021122011102221
4302223121023301000
51342420232111110
640555320420424
73634312555063
oct625331136100
9165407564387
1054415113280
1121093a05000
12a667617714
135192694aa8
1428c2c608da
1516372b67da
hexcab64bc40

54415113280 has 224 divisors, whose sum is σ = 143372799360. Its totient is φ = 19669760000.

The previous prime is 54415113229. The next prime is 54415113299. The reversal of 54415113280 is 8231151445.

It is a super-2 number, since 2×544151132802 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106905666 + ... + 106906174.

It is an arithmetic number, because the mean of its divisors is an integer number (640057140).

Almost surely, 254415113280 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 54415113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71686399680).

54415113280 is an abundant number, since it is smaller than the sum of its proper divisors (88957686080).

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

54415113280 is a wasteful number, since it uses less digits than its factorization.

54415113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 54415113280 in words is "fifty-four billion, four hundred fifteen million, one hundred thirteen thousand, two hundred eighty".