Search a number
-
+
30660064443510 = 23519191769366217
BaseRepresentation
bin1101111100010100110100…
…01111111111110001110110
311000120001222121101200121020
412332022122033333301312
513004313302444143020
6145113012243002010
76313054656523665
oct676123217776166
9130501877350536
1030660064443510
119850951088007
123532161669306
131415301c9b298
1477dd5289addc
15382812d78c40
hex1be29a3ffc76

30660064443510 has 128 divisors (see below), whose sum is σ = 77964003532800. Its totient is φ = 7695106375680.

The previous prime is 30660064443499. The next prime is 30660064443511. The reversal of 30660064443510 is 1534446006603.

It is a super-2 number, since 2×306600644435102 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30660064443511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83537922 + ... + 83904138.

It is an arithmetic number, because the mean of its divisors is an integer number (609093777600).

Almost surely, 230660064443510 is an apocalyptic number.

30660064443510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30660064443510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38982001766400).

30660064443510 is an abundant number, since it is smaller than the sum of its proper divisors (47303939089290).

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

30660064443510 is a wasteful number, since it uses less digits than its factorization.

30660064443510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367206.

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 30660064443510 in words is "thirty trillion, six hundred sixty billion, sixty-four million, four hundred forty-three thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 191 285 382 570 573 769 955 1146 1538 1910 2307 2865 3629 3845 4614 5730 7258 7690 10887 11535 14611 18145 21774 23070 29222 36290 43833 54435 73055 87666 108870 146110 146879 219165 293758 366217 438330 440637 732434 734395 881274 1098651 1468790 1831085 2197302 2203185 2790701 3662170 4406370 5493255 5581402 6958123 8372103 10986510 13916246 13953505 16744206 20874369 27907010 34790615 41748738 41860515 69581230 69947447 83721030 104371845 139894894 208743690 209842341 281620873 349737235 419684682 563241746 699474470 844862619 1049211705 1329001493 1408104365 1689725238 2098423410 2658002986 2816208730 3987004479 4224313095 5350796587 6645007465 7974008958 8448626190 10701593174 13290014930 16052389761 19935022395 26753982935 32104779522 39870044790 53507965870 53789586743 80261948805 107579173486 160523897610 161368760229 268947933715 322737520458 537895867430 806843801145 1022002148117 1613687602290 2044004296234 3066006444351 5110010740585 6132012888702 10220021481170 15330032221755 30660064443510