Search a number
-
+
53744419512 = 2334723154601
BaseRepresentation
bin110010000011011010…
…101100001010111000
312010201112121101120000
4302003122230022320
51340032032411022
640405001233000
73611560012500
oct620332541270
9163645541500
1053744419512
112087a361933
12a4baa92760
1350b6746984
14285bb54a00
1515e84826ac
hexc836ac2b8

53744419512 has 240 divisors, whose sum is σ = 180763197120. Its totient is φ = 14859936000.

The previous prime is 53744419507. The next prime is 53744419517. The reversal of 53744419512 is 21591444735.

53744419512 is a `hidden beast` number, since 5 + 3 + 7 + 444 + 195 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (53744419507) and next prime (53744419517).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53744419517) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 957012 + ... + 1011612.

It is an arithmetic number, because the mean of its divisors is an integer number (753179988).

Almost surely, 253744419512 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 53744419512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90381598560).

53744419512 is an abundant number, since it is smaller than the sum of its proper divisors (127018777608).

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

53744419512 is a wasteful number, since it uses less digits than its factorization.

53744419512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54664 (or 54644 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 53744419512 in words is "fifty-three billion, seven hundred forty-four million, four hundred nineteen thousand, five hundred twelve".