Search a number
-
+
52314063424 = 26710110910607
BaseRepresentation
bin110000101110001010…
…010100001001000000
312000000212010202212121
4300232022110021000
51324114400012144
640011023534024
73531251126230
oct605612241100
9160025122777
1052314063424
1120205a1a167
12a17ba5a314
134c192ca11c
142763bbdcc0
151562ae3384
hexc2e294240

52314063424 has 112 divisors (see below), whose sum is σ = 120926108160. Its totient is φ = 21992601600.

The previous prime is 52314063407. The next prime is 52314063449. The reversal of 52314063424 is 42436041325.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×523140634242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52314063424.

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, 4926729 + ... + 4937335.

Almost surely, 252314063424 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 52314063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60463054080).

52314063424 is an abundant number, since it is smaller than the sum of its proper divisors (68612044736).

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

52314063424 is a wasteful number, since it uses less digits than its factorization.

52314063424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10836 (or 10826 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 52314063424 in words is "fifty-two billion, three hundred fourteen million, sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 109 112 202 218 224 404 436 448 707 763 808 872 1414 1526 1616 1744 2828 3052 3232 3488 5656 6104 6464 6976 10607 11009 11312 12208 21214 22018 22624 24416 42428 44036 45248 48832 74249 77063 84856 88072 148498 154126 169712 176144 296996 308252 339424 352288 593992 616504 678848 704576 1071307 1156163 1187984 1233008 2142614 2312326 2375968 2466016 4285228 4624652 4751936 4932032 7499149 8093141 8570456 9249304 14998298 16186282 17140912 18498608 29996596 32372564 34281824 36997216 59993192 64745128 68563648 73994432 116772463 119986384 129490256 233544926 239972768 258980512 467089852 479945536 517961024 817407241 934179704 1634814482 1868359408 3269628964 3736718816 6539257928 7473437632 13078515856 26157031712 52314063424