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10504902249 = 323745769029
BaseRepresentation
bin10011100100010010…
…00001011001101001
31000010002211022210200
421302021001121221
5133003223332444
64454220302413
7521215124112
oct116211013151
930102738720
1010504902249
11450081a5a6
1220520a1a09
13cb549a9ba
14719233209
15417393969
hex272241669

10504902249 has 24 divisors (see below), whose sum is σ = 15618175560. Its totient is φ = 6798981888.

The previous prime is 10504902211. The next prime is 10504902251. The reversal of 10504902249 is 94220940501.

10504902249 is a `hidden beast` number, since 1 + 0 + 504 + 90 + 22 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4493691225 + 6011211024 = 67035^2 + 77532^2 .

It is not a de Polignac number, because 10504902249 - 212 = 10504898153 is a prime.

It is a super-2 number, since 2×105049022492 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10504902209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117667 + ... + 186695.

It is an arithmetic number, because the mean of its divisors is an integer number (650757315).

Almost surely, 210504902249 is an apocalyptic number.

It is an amenable number.

10504902249 is a deficient number, since it is larger than the sum of its proper divisors (5113273311).

10504902249 is a wasteful number, since it uses less digits than its factorization.

10504902249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69529 (or 69526 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10504902249 in words is "ten billion, five hundred four million, nine hundred two thousand, two hundred forty-nine".

Divisors: 1 3 9 37 111 333 457 1371 4113 16909 50727 69029 152181 207087 621261 2554073 7662219 22986657 31546253 94638759 283916277 1167211361 3501634083 10504902249