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10292288445 = 325228717521
BaseRepresentation
bin10011001010111011…
…11101101110111101
3222120021202102111100
421211131331232331
5132034311212240
64421143243313
7513024002565
oct114535755675
928507672440
1010292288445
11440180170a
121bb2a49539
13c8041820a
146d8cc9da5
15403896e30
hex26577dbbd

10292288445 has 12 divisors (see below), whose sum is σ = 17839966716. Its totient is φ = 5489220480.

The previous prime is 10292288417. The next prime is 10292288477. The reversal of 10292288445 is 54488229201.

10292288445 is a `hidden beast` number, since 102 + 9 + 22 + 88 + 445 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3288104964 + 7004183481 = 57342^2 + 83691^2 .

It is not a de Polignac number, because 10292288445 - 220 = 10291239869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 228717521 = 10292288445 / (1 + 0 + 2 + 9 + 2 + 2 + 8 + 8 + 4 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 10292288445.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114358716 + ... + 114358805.

It is an arithmetic number, because the mean of its divisors is an integer number (1486663893).

Almost surely, 210292288445 is an apocalyptic number.

10292288445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10292288445 is a deficient number, since it is larger than the sum of its proper divisors (7547678271).

10292288445 is a wasteful number, since it uses less digits than its factorization.

10292288445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228717532 (or 228717529 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10292288445 in words is "ten billion, two hundred ninety-two million, two hundred eighty-eight thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 228717521 686152563 1143587605 2058457689 3430762815 10292288445