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52015134330 = 232510112774481
BaseRepresentation
bin110000011100010101…
…111111011001111010
311222021000122121020200
4300130111333121322
51323011333244310
635521224503030
73520661226645
oct603425773172
9158230577220
1052015134330
1120072207325
12a0b791aa76
134b9c3b58c3
142736208a5c
1515467469c0
hexc1c57f67a

52015134330 has 96 divisors (see below), whose sum is σ = 136715808528. Its totient is φ = 13719552000.

The previous prime is 52015134313. The next prime is 52015134343. The reversal of 52015134330 is 3343151025.

52015134330 is a `hidden beast` number, since 520 + 1 + 5 + 134 + 3 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 46483791201 + 5531343129 = 215601^2 + 74373^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52015134294 and 52015134303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11605690 + ... + 11610170.

Almost surely, 252015134330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52015134330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68357904264).

52015134330 is an abundant number, since it is smaller than the sum of its proper divisors (84700674198).

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

52015134330 is a wasteful number, since it uses less digits than its factorization.

52015134330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 52015134330 its reverse (3343151025), we get a palindrome (55358285355).

The spelling of 52015134330 in words is "fifty-two billion, fifteen million, one hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1277 1515 1818 2554 3030 3831 4481 4545 6385 7662 8962 9090 11493 12770 13443 19155 22405 22986 26886 38310 40329 44810 57465 67215 80658 114930 128977 134430 201645 257954 386931 403290 452581 644885 773862 905162 1160793 1289770 1357743 1934655 2262905 2321586 2715486 3869310 4073229 4525810 5722237 5803965 6788715 8146458 11444474 11607930 13577430 17166711 20366145 28611185 34333422 40732290 51500133 57222370 85833555 103000266 171667110 257500665 515001330 577945937 1155891874 1733837811 2889729685 3467675622 5201513433 5779459370 8669189055 10403026866 17338378110 26007567165 52015134330