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53389365264 = 2432597386083
BaseRepresentation
bin110001101110010000…
…010001000000010000
312002210210111202200200
4301232100101000100
51333320134142024
640305435215200
73600016055064
oct615620210020
9162723452620
1053389365264
11207079a5374
12a41bba7500
13505b0110c1
14282692daa4
1515c71eb2c9
hexc6e411010

53389365264 has 120 divisors (see below), whose sum is σ = 154031822880. Its totient is φ = 17254964736.

The previous prime is 53389365247. The next prime is 53389365269. The reversal of 53389365264 is 46256398335.

53389365264 is a `hidden beast` number, since 5 + 3 + 3 + 89 + 36 + 526 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53389365264.

It is not an unprimeable number, because it can be changed into a prime (53389365269) 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 23 ways as a sum of consecutive naturals, for example, 577167 + ... + 663249.

It is an arithmetic number, because the mean of its divisors is an integer number (1283598524).

Almost surely, 253389365264 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 53389365264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77015911440).

53389365264 is an abundant number, since it is smaller than the sum of its proper divisors (100642457616).

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

53389365264 is a wasteful number, since it uses less digits than its factorization.

53389365264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86229 (or 86220 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 53389365264 in words is "fifty-three billion, three hundred eighty-nine million, three hundred sixty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 73 118 144 146 177 219 236 292 354 438 472 531 584 657 708 876 944 1062 1168 1314 1416 1752 2124 2628 2832 3504 4248 4307 5256 8496 8614 10512 12921 17228 25842 34456 38763 51684 68912 77526 86083 103368 155052 172166 206736 258249 310104 344332 516498 620208 688664 774747 1032996 1377328 1549494 2065992 3098988 4131984 5078897 6197976 6284059 10157794 12395952 12568118 15236691 18852177 20315588 25136236 30473382 37704354 40631176 45710073 50272472 56556531 60946764 75408708 81262352 91420146 100544944 113113062 121893528 150817416 182840292 226226124 243787056 301634832 365680584 370759481 452452248 731361168 741518962 904904496 1112278443 1483037924 2224556886 2966075848 3336835329 4449113772 5932151696 6673670658 8898227544 13347341316 17796455088 26694682632 53389365264