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10495771780 = 22513178926681
BaseRepresentation
bin10011100011001100…
…01100010010000100
31000002110122110011011
421301212030102010
5132443404144110
64453252452004
7521044405504
oct116146142204
930073573134
1010495771780
1144a665375a
12204b01a004
13cb3621b60
14717d37a04
1541668d48a
hex27198c484

10495771780 has 96 divisors (see below), whose sum is σ = 25416205920. Its totient is φ = 3606282240.

The previous prime is 10495771739. The next prime is 10495771787. The reversal of 10495771780 is 8717759401.

It can be written as a sum of positive squares in 16 ways, for example, as 8036405316 + 2459366464 = 89646^2 + 49592^2 .

It is a super-2 number, since 2×104957717802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10495771787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380040 + ... + 406720.

It is an arithmetic number, because the mean of its divisors is an integer number (264752145).

Almost surely, 210495771780 is an apocalyptic number.

10495771780 is a gapful number since it is divisible by the number (10) 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 10495771780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12708102960).

10495771780 is an abundant number, since it is smaller than the sum of its proper divisors (14920434140).

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

10495771780 is a wasteful number, since it uses less digits than its factorization.

10495771780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26809 (or 26807 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 49.

The spelling of 10495771780 in words is "ten billion, four hundred ninety-five million, seven hundred seventy-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 89 130 170 178 221 260 340 356 442 445 884 890 1105 1157 1513 1780 2210 2314 3026 4420 4628 5785 6052 7565 11570 15130 19669 23140 26681 30260 39338 53362 78676 98345 106724 133405 196690 266810 346853 393380 453577 533620 693706 907154 1387412 1734265 1814308 2267885 2374609 3468530 4535770 4749218 5896501 6937060 9071540 9498436 11793002 11873045 23586004 23746090 29482505 30869917 40368353 47492180 58965010 61739834 80736706 117930020 123479668 154349585 161473412 201841765 308699170 403683530 524788589 617398340 807367060 1049577178 2099154356 2623942945 5247885890 10495771780