Search a number
-
+
10683255690 = 2325714873433
BaseRepresentation
bin10011111001100010…
…11000101110001010
31000120112102121201200
421330301120232022
5133334403140230
64524031125030
7525512114022
oct117461305612
930515377650
1010683255690
114592468138
1220a1973776
131013416293
14734bbca82
15427d74160
hex27cc58b8a

10683255690 has 96 divisors (see below), whose sum is σ = 28233743616. Its totient is φ = 2802159360.

The previous prime is 10683255629. The next prime is 10683255691. The reversal of 10683255690 is 9655238601.

10683255690 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 3 + 2 + 556 + 90 = 666.

10683255690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106832556902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10683255691) 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 47 ways as a sum of consecutive naturals, for example, 3110214 + ... + 3113646.

It is an arithmetic number, because the mean of its divisors is an integer number (294101496).

Almost surely, 210683255690 is an apocalyptic number.

10683255690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10683255690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116871808).

10683255690 is an abundant number, since it is smaller than the sum of its proper divisors (17550487926).

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

10683255690 is a wasteful number, since it uses less digits than its factorization.

10683255690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10683255690 in words is "ten billion, six hundred eighty-three million, two hundred fifty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 487 639 710 974 1065 1278 1461 2130 2435 2922 3195 3433 4383 4870 6390 6866 7305 8766 10299 14610 17165 20598 21915 30897 34330 34577 43830 51495 61794 69154 102990 103731 154485 172885 207462 243743 308970 311193 345770 487486 518655 622386 731229 1037310 1218715 1462458 1555965 1671871 2193687 2437430 3111930 3343742 3656145 4387374 5015613 7312290 8359355 10031226 10968435 15046839 16718710 21936870 25078065 30093678 50156130 75234195 118702841 150468390 237405682 356108523 593514205 712217046 1068325569 1187028410 1780542615 2136651138 3561085230 5341627845 10683255690