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1331355065488 = 247415318130223
BaseRepresentation
bin10011010111111010111…
…100100001110010010000
311201021110102102210222221
4103113322330201302100
5133303103344043423
62455341023310424
7165121135223440
oct23277274416220
94637412383887
101331355065488
11473696253a58
1219603814b414
1398714137426
144861b96a120
15249719b9e5d
hex135faf21c90

1331355065488 has 160 divisors (see below), whose sum is σ = 3093983972352. Its totient is φ = 543125606400.

The previous prime is 1331355065483. The next prime is 1331355065489. The reversal of 1331355065488 is 8845605531331.

It is not an unprimeable number, because it can be changed into a prime (1331355065483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44035945 + ... + 44066167.

Almost surely, 21331355065488 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 1331355065488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546991986176).

1331355065488 is an abundant number, since it is smaller than the sum of its proper divisors (1762628906864).

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

1331355065488 is a wasteful number, since it uses less digits than its factorization.

1331355065488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30513 (or 30507 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 52.

The spelling of 1331355065488 in words is "one trillion, three hundred thirty-one billion, three hundred fifty-five million, sixty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 53 56 82 106 112 164 181 212 287 328 362 371 424 574 656 724 742 848 1148 1267 1448 1484 2173 2296 2534 2896 2968 4346 4592 5068 5936 7421 8692 9593 10136 14842 15211 17384 19186 20272 29684 30223 30422 34768 38372 51947 59368 60446 60844 67151 76744 103894 118736 120892 121688 134302 153488 207788 211561 241784 243376 268604 393313 415576 423122 483568 537208 786626 831152 846244 1074416 1239143 1573252 1601819 1692488 2478286 2753191 3146504 3203638 3384976 4956572 5470363 5506382 6293008 6407276 8674001 9913144 10940726 11012764 11212733 12814552 17348002 19826288 21881452 22025528 22425466 25629104 34696004 38292541 43762904 44051056 44850932 65674579 69392008 76585082 87525808 89701864 131349158 138784016 153170164 179403728 224284883 262698316 289929239 306340328 448569766 459722053 525396632 579858478 612680656 897139532 919444106 1050793264 1159716956 1569994181 1794279064 1838888212 2029504673 2319433912 3139988362 3588558128 3677776424 4059009346 4638867824 6279976724 7355552848 8118018692 11887098799 12559953448 16236037384 23774197598 25119906896 32472074768 47548395196 83209691593 95096790392 166419383186 190193580784 332838766372 665677532744 1331355065488