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53242769664 = 28357217467
BaseRepresentation
bin110001100101100001…
…000011000100000000
312002102120122221100000
4301211201003010000
51333020122112124
640243121200000
73563256034500
oct614541030400
9162376587300
1053242769664
1120642178987
12a39aa90000
135036834946
14281128da00
1515b93e06c9
hexc65843100

53242769664 has 324 divisors, whose sum is σ = 185199718704. Its totient is φ = 15211348992.

The previous prime is 53242769623. The next prime is 53242769747. The reversal of 53242769664 is 46696724235.

53242769664 is a `hidden beast` number, since 532 + 42 + 7 + 6 + 9 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 53242769664.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3039459 + ... + 3056925.

Almost surely, 253242769664 is an apocalyptic number.

53242769664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53242769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92599859352).

53242769664 is an abundant number, since it is smaller than the sum of its proper divisors (131956949040).

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

53242769664 is an equidigital number, since it uses as much as digits as its factorization.

53242769664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17512 (or 17479 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 53242769664 in words is "fifty-three billion, two hundred forty-two million, seven hundred sixty-nine thousand, six hundred sixty-four".