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1330793510228 = 2271329717316759
BaseRepresentation
bin10011010111011001011…
…110010111010101010100
311201020000021202211222222
4103113121132113111110
5133300431114311403
62455205203241512
7165101206124210
oct23273136272524
94636007684888
101330793510228
114734282741a6
12195b00079298
13986549ac500
14485a714d940
152493c543338
hex135d9797554

1330793510228 has 144 divisors (see below), whose sum is σ = 2928791496960. Its totient is φ = 517997555712.

The previous prime is 1330793510227. The next prime is 1330793510231. The reversal of 1330793510228 is 8220153970331.

It is a super-2 number, since 2×13307935102282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330793510227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79399313 + ... + 79416071.

It is an arithmetic number, because the mean of its divisors is an integer number (20338829840).

Almost surely, 21330793510228 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 1330793510228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464395748480).

1330793510228 is an abundant number, since it is smaller than the sum of its proper divisors (1597997986732).

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

1330793510228 is a wasteful number, since it uses less digits than its factorization.

1330793510228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17066 (or 17051 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 1330793510228 in words is "one trillion, three hundred thirty billion, seven hundred ninety-three million, five hundred ten thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 97 169 173 182 194 338 346 364 388 676 679 692 1183 1211 1261 1358 2249 2366 2422 2522 2716 4498 4732 4844 5044 8827 8996 15743 16393 16759 16781 17654 29237 31486 32786 33518 33562 35308 58474 62972 65572 67036 67124 114751 116948 117313 117467 204659 217867 218153 229502 234626 234934 409318 435734 436306 459004 469252 469868 818636 871468 872612 1525069 1527071 1625623 2832271 2835989 2899307 3050138 3054142 3251246 5664542 5671978 5798614 6100276 6108284 6502492 11329084 11343956 11379361 11597228 19825897 19851923 20295149 21133099 22758722 37690991 39651794 39703846 40590298 42266198 45517444 75381982 79303588 79407692 81180596 84532396 147931693 150763964 263836937 274730287 281232779 295863386 489982883 527673874 549460574 562465558 591726772 979965766 1055347748 1098921148 1124931116 1923112009 1959931532 1968629453 3429880181 3656026127 3846224018 3937258906 6859760362 7312052254 7692448036 7874517812 13719520724 14624104508 25592182889 47528339651 51184365778 95056679302 102368731556 190113358604 332698377557 665396755114 1330793510228