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10688282050 = 2522934921121
BaseRepresentation
bin10011111010001001…
…00011110111000010
31000120212212222121011
421331010203313002
5133342200011200
64524330551134
7525602620105
oct117504436702
930525788534
1010688282050
114595290556
1220a35984aa
131014486064
1473572a73c
154285185ba
hex27d123dc2

10688282050 has 48 divisors (see below), whose sum is σ = 20625633000. Its totient is φ = 4115865600.

The previous prime is 10688282029. The next prime is 10688282051. The reversal of 10688282050 is 5028288601.

It is a happy number.

10688282050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2508707569 + 8179574481 = 50087^2 + 90441^2 .

It is a super-2 number, since 2×106882820502 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10688281994 and 10688282012.

It is not an unprimeable number, because it can be changed into a prime (10688282051) 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 23 ways as a sum of consecutive naturals, for example, 495490 + ... + 516610.

Almost surely, 210688282050 is an apocalyptic number.

10688282050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10688282050 is a deficient number, since it is larger than the sum of its proper divisors (9937350950).

10688282050 is a wasteful number, since it uses less digits than its factorization.

10688282050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21511 (or 21506 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 10688282050 in words is "ten billion, six hundred eighty-eight million, two hundred eighty-two thousand, fifty".

Divisors: 1 2 5 10 25 29 50 58 145 290 349 698 725 1450 1745 3490 8725 10121 17450 20242 21121 42242 50605 101210 105605 211210 253025 506050 528025 612509 1056050 1225018 3062545 6125090 7371229 14742458 15312725 30625450 36856145 73712290 184280725 213765641 368561450 427531282 1068828205 2137656410 5344141025 10688282050