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13030964573424 = 2437471997413201
BaseRepresentation
bin1011110110100000001000…
…0000111011010011110000
31201010202012022210211122020
42331220002000323103300
53201444403412322144
643414201550511440
72513312310211560
oct275500200732360
951122168724566
1013030964573424
114174445870046
1215655a3805580
13736a78b35705
143309b85d8da0
15178e72ce5419
hexbda0203b4f0

13030964573424 has 160 divisors (see below), whose sum is σ = 39310702811136. Its totient is φ = 3642083635200.

The previous prime is 13030964573423. The next prime is 13030964573437. The reversal of 13030964573424 is 42437546903031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030964573423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31330024 + ... + 31743224.

Almost surely, 213030964573424 is an apocalyptic number.

13030964573424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13030964573424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19655351405568).

13030964573424 is an abundant number, since it is smaller than the sum of its proper divisors (26279738237712).

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

13030964573424 is a wasteful number, since it uses less digits than its factorization.

13030964573424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415263 (or 415257 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 13030964573424 in words is "thirteen trillion, thirty billion, nine hundred sixty-four million, five hundred seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 1997 2256 2632 3948 3994 5264 5991 7896 7988 11982 13979 15792 15976 23964 27958 31952 41937 47928 55916 83874 93859 95856 111832 167748 187718 223664 281577 335496 375436 413201 563154 657013 670992 750872 826402 1126308 1239603 1314026 1501744 1652804 1971039 2252616 2479206 2628052 2892407 3305608 3942078 4505232 4958412 5256104 5784814 6611216 7884156 8677221 9916824 10512208 11569628 15768312 17354442 19420447 19833648 23139256 31536624 34708884 38840894 46278512 58261341 69417768 77681788 116522682 135943129 138835536 155363576 233045364 271886258 310727152 407829387 466090728 543772516 815658774 825162397 932181456 1087545032 1631317548 1650324794 2175090064 2475487191 3262635096 3300649588 4950974382 5776136779 6525270192 6601299176 9901948764 11552273558 13202598352 17328410337 19803897528 23104547116 34656820674 38782632659 39607795056 46209094232 69313641348 77565265318 92418188464 116347897977 138627282696 155130530636 232695795954 271478428613 277254565392 310261061272 465391591908 542956857226 620522122544 814435285839 930783183816 1085913714452 1628870571678 1861566367632 2171827428904 3257741143356 4343654857808 6515482286712 13030964573424