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5933987696 = 2471353131587
BaseRepresentation
bin1011000011011000…
…10111011101110000
3120022112211210211002
411201230113131300
544123100101241
62420453541132
7300023030450
oct54154273560
916275753732
105933987696
11257564386a
1211973447a8
137374c5330
14404147d60
1524ae4889b
hex161b17770

5933987696 has 160 divisors (see below), whose sum is σ = 14552068608. Its totient is φ = 2281743360.

The previous prime is 5933987681. The next prime is 5933987699. The reversal of 5933987696 is 6967893395.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5933987699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10108715 + ... + 10109301.

Almost surely, 25933987696 is an apocalyptic number.

5933987696 is a gapful number since it is divisible by the number (56) 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 5933987696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7276034304).

5933987696 is an abundant number, since it is smaller than the sum of its proper divisors (8618080912).

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

5933987696 is a wasteful number, since it uses less digits than its factorization.

5933987696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its digits is 66134880, while the sum is 65.

The square root of 5933987696 is about 77032.3808278051. The cubic root of 5933987696 is about 1810.4319854521.

The spelling of 5933987696 in words is "five billion, nine hundred thirty-three million, nine hundred eighty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 53 56 91 104 106 112 131 182 208 212 262 364 371 424 524 587 689 728 742 848 917 1048 1174 1378 1456 1484 1703 1834 2096 2348 2756 2968 3406 3668 4109 4696 4823 5512 5936 6812 6943 7336 7631 8218 9392 9646 11024 11921 13624 13886 14672 15262 16436 19292 23842 27248 27772 30524 31111 32872 38584 47684 48601 53417 55544 61048 62222 65744 76897 77168 90259 95368 97202 106834 111088 122096 124444 153794 180518 190736 194404 213668 217777 248888 307588 361036 388808 404443 427336 435554 497776 538279 615176 631813 722072 777616 808886 854672 871108 999661 1076558 1230352 1263626 1444144 1617772 1742216 1999322 2153116 2527252 2831101 3235544 3484432 3998644 4075541 4306232 5054504 5662202 6471088 6997627 7997288 8151082 8612464 10109008 11324404 13995254 15994576 16302164 22648808 27990508 28528787 32604328 45297616 52982033 55981016 57057574 65208656 105964066 111962032 114115148 211928132 228230296 370874231 423856264 456460592 741748462 847712528 1483496924 2966993848 5933987696