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10631061903645 = 325298146407589
BaseRepresentation
bin1001101010110011110010…
…1010110001100100011101
31101122022121222112111122100
42122230330222301210131
52343134403321404040
634335501543435313
72145032424125211
oct232547452614435
941568558474570
1010631061903645
113429676325567
121238455155b39
135c1674180571
1428a790880941
15136811c47b30
hex9ab3cab191d

10631061903645 has 24 divisors (see below), whose sum is σ = 19062593760600. Its totient is φ = 5474385899136.

The previous prime is 10631061903619. The next prime is 10631061903731. The reversal of 10631061903645 is 54630916013601.

10631061903645 is a `hidden beast` number, since 1 + 0 + 631 + 0 + 6 + 1 + 9 + 0 + 3 + 6 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146404951641 + 10484656952004 = 382629^2 + 3238002^2 .

It is not a de Polignac number, because 10631061903645 - 228 = 10630793468189 is a prime.

It is a super-2 number, since 2×106310619036452 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10631061903645.

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 23 ways as a sum of consecutive naturals, for example, 4073202490 + ... + 4073205099.

It is an arithmetic number, because the mean of its divisors is an integer number (794274740025).

Almost surely, 210631061903645 is an apocalyptic number.

10631061903645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10631061903645 is a deficient number, since it is larger than the sum of its proper divisors (8431531856955).

10631061903645 is a wasteful number, since it uses less digits than its factorization.

10631061903645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146407629 (or 8146407626 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 10631061903645 in words is "ten trillion, six hundred thirty-one billion, sixty-one million, nine hundred three thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 8146407589 24439222767 40732037945 73317668301 122196113835 236245820081 366588341505 708737460243 1181229100405 2126212380729 3543687301215 10631061903645