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53033045040 = 2432597775391
BaseRepresentation
bin110001011001000001…
…000000110000110000
312001212222000211020100
4301121001000300300
51332102424420130
640210230112400
73555131305443
oct613101006060
9161788024210
1053033045040
1120544853748
12a3407ab700
135002254231
1427d149965a
1515a5cb4c60
hexc59040c30

53033045040 has 120 divisors (see below), whose sum is σ = 178287303168. Its totient is φ = 14127482880.

The previous prime is 53033045033. The next prime is 53033045053. The reversal of 53033045040 is 4054033035.

It is a happy number.

53033045040 is a `hidden beast` number, since 5 + 303 + 304 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 53033044995 and 53033045013.

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 23 ways as a sum of consecutive naturals, for example, 665745 + ... + 741135.

Almost surely, 253033045040 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 53033045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89143651584).

53033045040 is an abundant number, since it is smaller than the sum of its proper divisors (125254258128).

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

53033045040 is a wasteful number, since it uses less digits than its factorization.

53033045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76387 (or 76378 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 53033045040 its reverse (4054033035), we get a palindrome (57087078075).

The spelling of 53033045040 in words is "fifty-three billion, thirty-three million, forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 977 1954 2931 3908 4885 5862 7816 8793 9770 11724 14655 15632 17586 19540 23448 29310 35172 39080 43965 46896 58620 70344 75391 78160 87930 117240 140688 150782 175860 226173 234480 301564 351720 376955 452346 603128 678519 703440 753910 904692 1130865 1206256 1357038 1507820 1809384 2261730 2714076 3015640 3392595 3618768 4523460 5428152 6031280 6785190 9046920 10856304 13570380 18093840 27140760 54281520 73657007 147314014 220971021 294628028 368285035 441942042 589256056 662913063 736570070 883884084 1104855105 1178512112 1325826126 1473140140 1767768168 2209710210 2651652252 2946280280 3314565315 3535536336 4419420420 5303304504 5892560560 6629130630 8838840840 10606609008 13258261260 17677681680 26516522520 53033045040