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510056000076 = 22373481325747
BaseRepresentation
bin1110110110000011011…
…01001110101001001100
31210202112200100110000210
413123001231032221030
531324043314000301
61030152210122420
751564443316000
oct7330155165114
91722480313023
10510056000076
1118734a351167
1282a28880410
133913761468c
141a9889a2700
15d4038a3ad6
hex76c1b4ea4c

510056000076 has 96 divisors (see below), whose sum is σ = 1388249766400. Its totient is φ = 145694348352.

The previous prime is 510056000071. The next prime is 510056000099. The reversal of 510056000076 is 670000650015.

510056000076 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (510056000071) 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, 19797435 + ... + 19823181.

Almost surely, 2510056000076 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 510056000076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694124883200).

510056000076 is an abundant number, since it is smaller than the sum of its proper divisors (878193766324).

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

510056000076 is a wasteful number, since it uses less digits than its factorization.

510056000076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30588 (or 30572 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 510056000076 in words is "five hundred ten billion, fifty-six million, seventy-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 4813 9626 14439 19252 25747 28878 33691 51494 57756 67382 77241 101073 102988 134764 154482 180229 202146 235837 308964 360458 404292 471674 540687 707511 720916 943348 1081374 1261603 1415022 1650859 2162748 2523206 2830044 3301718 3784809 4952577 5046412 6603436 7569618 8831221 9905154 15139236 17662442 19810308 26493663 35324884 52987326 105974652 123920311 247840622 371760933 495681244 743521866 867442177 1487043732 1734884354 2602326531 3469768708 5204653062 6072095239 10409306124 12144190478 18216285717 24288380956 36432571434 42504666673 72865142868 85009333346 127514000019 170018666692 255028000038 510056000076