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53740247040 = 21136523313
BaseRepresentation
bin110010000011001010…
…110001100000000000
312010201020202102000000
4302003022301200000
51340030000401130
640404332000000
73611506364034
oct620312614000
9163636672000
1053740247040
1120877a72007
12a4b9600000
1350b591575c
14285b38a1c4
1515e7e0b260
hexc832b1800

53740247040 has 672 divisors, whose sum is σ = 202379355360. Its totient is φ = 13663862784.

The previous prime is 53740247039. The next prime is 53740247047. The reversal of 53740247040 is 4074204735.

53740247040 is a `hidden beast` number, since 5 + 374 + 0 + 247 + 0 + 40 = 666.

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 = 53740246986 and 53740247004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53740247047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 171693924 + ... + 171694236.

It is an arithmetic number, because the mean of its divisors is an integer number (301159755).

Almost surely, 253740247040 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 53740247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101189677680).

53740247040 is an abundant number, since it is smaller than the sum of its proper divisors (148639108320).

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

53740247040 is an equidigital number, since it uses as much as digits as its factorization.

53740247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 53740247040 in words is "fifty-three billion, seven hundred forty million, two hundred forty-seven thousand, forty".