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13028353813472 = 2519219324124247
BaseRepresentation
bin1011110110010110011001…
…1001101010101111100000
31201010111110101012111021012
42331211212121222233200
53201424032034012342
643413050525120052
72513160516134534
oct275454631525740
951114411174235
1013028353813472
114173326096498
121564b953b9028
13736750c9603a
1433080b995bc4
15178d6d9dbb82
hexbd96666abe0

13028353813472 has 144 divisors (see below), whose sum is σ = 27324897681312. Its totient is φ = 6113623080960.

The previous prime is 13028353813459. The next prime is 13028353813507. The reversal of 13028353813472 is 27431835382031.

It is a self number, because there is not a number n which added to its sum of digits gives 13028353813472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537306053 + ... + 537330299.

It is an arithmetic number, because the mean of its divisors is an integer number (189756233898).

Almost surely, 213028353813472 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 13028353813472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662448840656).

13028353813472 is an abundant number, since it is smaller than the sum of its proper divisors (14296543867840).

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

13028353813472 is a wasteful number, since it uses less digits than its factorization.

13028353813472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24729 (or 24702 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 13028353813472 in words is "thirteen trillion, twenty-eight billion, three hundred fifty-three million, eight hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 193 241 304 361 386 482 608 722 772 964 1444 1544 1928 2888 3088 3667 3856 4579 5776 6176 7334 7712 9158 11552 14668 18316 24247 29336 36632 46513 48494 58672 69673 73264 87001 93026 96988 117344 139346 146528 174002 186052 193976 278692 348004 372104 387952 460693 557384 696008 744208 775904 883747 921386 1114768 1392016 1488416 1767494 1842772 2229536 2784032 3534988 3685544 4679671 5843527 7069976 7371088 8753167 9359342 11687054 14139952 14742176 16791193 17506334 18718684 23374108 28279904 33582386 35012668 37437368 46748216 67164772 70025336 74874736 88913749 93496432 111027013 134329544 140050672 149749472 177827498 186992864 222054026 268659088 280101344 355654996 444108052 537318176 711309992 888216104 1127800711 1422619984 1689361231 1776432208 2109513247 2255601422 2845239968 3378722462 3552864416 4219026494 4511202844 6757444924 8438052988 9022405688 13514889848 16876105976 18044811376 21428213509 27029779696 33752211952 36089622752 42856427018 54059559392 67504423904 85712854036 171425708072 342851416144 407136056671 685702832288 814272113342 1628544226684 3257088453368 6514176906736 13028353813472