Search a number
-
+
53641318528 = 277795871291
BaseRepresentation
bin110001111101010001…
…011001000010000000
312010110100121022121001
4301331101121002000
51334324134143103
640350435341344
73606165453520
oct617521310200
9163410538531
1053641318528
1120827142606
12a490451854
13509b288885
14284c197680
1515de3b901d
hexc7d459080

53641318528 has 128 divisors (see below), whose sum is σ = 123982387200. Its totient is φ = 22641914880.

The previous prime is 53641318477. The next prime is 53641318537. The reversal of 53641318528 is 82581314635.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41549563 + ... + 41550853.

It is an arithmetic number, because the mean of its divisors is an integer number (968612400).

Almost surely, 253641318528 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 53641318528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61991193600).

53641318528 is an abundant number, since it is smaller than the sum of its proper divisors (70341068672).

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

53641318528 is a wasteful number, since it uses less digits than its factorization.

53641318528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1966 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The spelling of 53641318528 in words is "fifty-three billion, six hundred forty-one million, three hundred eighteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 224 316 448 553 587 632 896 1106 1174 1264 1291 2212 2348 2528 2582 4109 4424 4696 5056 5164 8218 8848 9037 9392 10112 10328 16436 17696 18074 18784 20656 32872 35392 36148 37568 41312 46373 65744 70784 72296 75136 82624 92746 101989 131488 144592 165248 185492 203978 262976 289184 324611 370984 407956 525952 578368 649222 713923 741968 757817 815912 1156736 1298444 1427846 1483936 1515634 1631824 2596888 2855692 2967872 3031268 3263648 5193776 5304719 5711384 5935744 6062536 6527296 10387552 10609438 11422768 12125072 13054592 20775104 21218876 22845536 24250144 41550208 42437752 45691072 48500288 59867543 84875504 91382144 97000576 119735086 169751008 239470172 339502016 419072801 478940344 679004032 838145602 957880688 1676291204 1915761376 3352582408 3831522752 6705164816 7663045504 13410329632 26820659264 53641318528