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5786286016 = 26729736101
BaseRepresentation
bin1010110001110001…
…11011011111000000
3112221020220210012111
411120320323133000
543322242123031
62354100105104
7263250422350
oct53070733700
915836823174
105786286016
1124aa231365
121155995194
13712a1c5a4
143cc69ab60
1523cec01b1
hex158e3b7c0

5786286016 has 112 divisors (see below), whose sum is σ = 13763183040. Its totient is φ = 2361139200.

The previous prime is 5786285993. The next prime is 5786286017. The reversal of 5786286016 is 6106826875.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×57862860162 = 66962211717914304512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5786286017) 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 15 ways as a sum of consecutive naturals, for example, 945366 + ... + 951466.

Almost surely, 25786286016 is an apocalyptic number.

5786286016 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 5786286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881591520).

5786286016 is an abundant number, since it is smaller than the sum of its proper divisors (7976897024).

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

5786286016 is a wasteful number, since it uses less digits than its factorization.

5786286016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 5786286016 is about 76067.6410571539. The cubic root of 5786286016 is about 1795.2845730961.

The spelling of 5786286016 in words is "five billion, seven hundred eighty-six million, two hundred eighty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 73 112 116 146 203 224 232 292 406 448 464 511 584 812 928 1022 1168 1624 1856 2044 2117 2336 3248 4088 4234 4672 6101 6496 8176 8468 12202 12992 14819 16352 16936 24404 29638 32704 33872 42707 48808 59276 67744 85414 97616 118552 135488 170828 176929 195232 237104 341656 353858 390464 445373 474208 683312 707716 890746 948416 1238503 1366624 1415432 1781492 2477006 2733248 2830864 3117611 3562984 4954012 5661728 6235222 7125968 9908024 11323456 12470444 12915817 14251936 19816048 24940888 25831634 28503872 39632096 49881776 51663268 79264192 90410719 99763552 103326536 180821438 199527104 206653072 361642876 413306144 723285752 826612288 1446571504 2893143008 5786286016