Search a number
-
+
10275856336 = 2419213912799
BaseRepresentation
bin10011001000111110…
…10001111111010000
3222112010211120212201
421210133101333100
5132021104400321
64415355132544
7512434223554
oct114437217720
928463746781
1010275856336
1143a34a8a59
121ba9444154
13c79bb3a85
146d6a4d864
154021ed291
hex2647d1fd0

10275856336 has 60 divisors (see below), whose sum is σ = 21165312000. Its totient is φ = 4832115264.

The previous prime is 10275856291. The next prime is 10275856343. The reversal of 10275856336 is 63365857201.

It is a super-2 number, since 2×102758563362 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 796465 + ... + 809263.

It is an arithmetic number, because the mean of its divisors is an integer number (352755200).

Almost surely, 210275856336 is an apocalyptic number.

10275856336 is a gapful number since it is divisible by the number (16) 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 10275856336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10582656000).

10275856336 is an abundant number, since it is smaller than the sum of its proper divisors (10889455664).

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

10275856336 is a wasteful number, since it uses less digits than its factorization.

10275856336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12984 (or 12959 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 10275856336 in words is "ten billion, two hundred seventy-five million, eight hundred fifty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 139 152 278 304 361 556 722 1112 1444 2224 2641 2888 5282 5776 10564 12799 21128 25598 42256 50179 51196 100358 102392 200716 204784 243181 401432 486362 802864 972724 1779061 1945448 3558122 3890896 4620439 7116244 9240878 14232488 18481756 28464976 33802159 36963512 67604318 73927024 135208636 270417272 540834544 642241021 1284482042 2568964084 5137928168 10275856336