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53538114240 = 26335131094373
BaseRepresentation
bin110001110111000111…
…101100101011000000
312010012011101222221000
4301313013230223000
51334121224123430
640332311332000
73603503314422
oct616707545300
9163164358830
1053538114240
1120783962706
12a461981000
135082a92750
14283c5b0812
1515d52cee60
hexc771ecac0

53538114240 has 448 divisors, whose sum is σ = 205312060800. Its totient is φ = 13054722048.

The previous prime is 53538114209. The next prime is 53538114241. The reversal of 53538114240 is 4241183535.

53538114240 is a `hidden beast` number, since 5 + 3 + 538 + 114 + 2 + 4 + 0 = 666.

53538114240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53538114195 and 53538114204.

It is not an unprimeable number, because it can be changed into a prime (53538114241) 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, 12240694 + ... + 12245066.

It is an arithmetic number, because the mean of its divisors is an integer number (458285850).

Almost surely, 253538114240 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 53538114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102656030400).

53538114240 is an abundant number, since it is smaller than the sum of its proper divisors (151773946560).

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

53538114240 is a wasteful number, since it uses less digits than its factorization.

53538114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 53538114240 its reverse (4241183535), we get a palindrome (57779297775).

The spelling of 53538114240 in words is "fifty-three billion, five hundred thirty-eight million, one hundred fourteen thousand, two hundred forty".