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5110005606056 = 23132915719075659
BaseRepresentation
bin100101001011100010000…
…0100011010011010101000
3200002111211002001220211222
41022113010010122122220
51132210242413343211
614511300522241212
71035120462661601
oct112270404323250
920074732056758
105110005606056
1116a0160a4657a
126a642a656208
132b0b437a4a60
1413947b5c8da8
158cdca0751db
hex4a5c411a6a8

5110005606056 has 128 divisors (see below), whose sum is σ = 10749603312000. Its totient is φ = 2261047606272.

The previous prime is 5110005606053. The next prime is 5110005606067. The reversal of 5110005606056 is 6506065000115.

It is a super-2 number, since 2×51100056060562 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5110005606053) 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, 902984555 + ... + 902990213.

It is an arithmetic number, because the mean of its divisors is an integer number (83981275875).

Almost surely, 25110005606056 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 5110005606056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374801656000).

5110005606056 is an abundant number, since it is smaller than the sum of its proper divisors (5639597705944).

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

5110005606056 is a wasteful number, since it uses less digits than its factorization.

5110005606056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7771 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 5110005606056 in words is "five trillion, one hundred ten billion, five million, six hundred six thousand, fifty-six".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 157 232 314 377 628 754 1256 1508 1907 2041 3016 3814 4082 4553 5659 7628 8164 9106 11318 15256 16328 18212 22636 24791 36424 45272 49582 55303 59189 73567 99164 110606 118378 147134 164111 198328 221212 236756 294268 299399 328222 442424 473512 588536 598798 656444 718939 888463 1197596 1312888 1437878 1776926 2133443 2395192 2875756 3553852 3892187 4266886 5751512 7107704 7784374 8533772 8682571 10791713 11550019 15568748 17067544 17365142 21583426 23100038 25765427 31137496 34730284 43166852 46200076 51530854 69460568 86333704 92400152 103061708 112873423 140292269 206123416 225746846 280584538 312959677 334950551 451493692 561169076 625919354 669901102 902987384 1122338152 1251838708 1339802204 1694298941 2503677416 2679604408 3388597882 4068475801 6777195764 8136951602 13554391528 16273903204 22025886233 32547806408 44051772466 49134669289 88103544932 98269338578 176207089864 196538677156 393077354312 638750700757 1277501401514 2555002803028 5110005606056