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505010105056 = 251710743919763
BaseRepresentation
bin1110101100101001111…
…00101010101011100000
31210021112000121102100001
413112110330222223200
531233230041330211
61023555355105344
751325423031542
oct7262474525340
91707460542301
10505010105056
111851a0047596
1281a5aa42254
1338812106c92
141a62a795692
15d20a8d3ac1
hex7594f2aae0

505010105056 has 96 divisors (see below), whose sum is σ = 1065036107520. Its totient is φ = 234882594816.

The previous prime is 505010105029. The next prime is 505010105059. The reversal of 505010105056 is 650501010505.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505010105059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25543431 + ... + 25563193.

It is an arithmetic number, because the mean of its divisors is an integer number (11094126120).

Almost surely, 2505010105056 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 505010105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532518053760).

505010105056 is an abundant number, since it is smaller than the sum of its proper divisors (560026002464).

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

505010105056 is a wasteful number, since it uses less digits than its factorization.

505010105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20336 (or 20328 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 505010105056 in words is "five hundred five billion, ten million, one hundred five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 107 136 214 272 428 439 544 856 878 1712 1756 1819 3424 3512 3638 7024 7276 7463 14048 14552 14926 19763 29104 29852 39526 46973 58208 59704 79052 93946 119408 158104 187892 238816 316208 335971 375784 632416 671942 751568 798541 1343884 1503136 1597082 2114641 2687768 3194164 4229282 5375536 6388328 8458564 8675957 10751072 12776656 16917128 17351914 25553312 33834256 34703828 35948897 67668512 69407656 71897794 138815312 143795588 147491269 277630624 287591176 294982538 575182352 589965076 928327399 1150364704 1179930152 1856654798 2359860304 3713309596 4719720608 7426619192 14853238384 15781565783 29706476768 31563131566 63126263132 126252526264 252505052528 505010105056