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1045735645 = 510918110601
BaseRepresentation
bin111110010101001…
…010100011011101
32200212201212121211
4332111022203131
54120202020040
6251433424421
734625414653
oct7625124335
92625655554
101045735645
11497321739
1225226b111
131388615b6
149cc54dd3
1561c178ea
hex3e54a8dd

1045735645 has 16 divisors (see below), whose sum is σ = 1273512240. Its totient is φ = 824256000.

The previous prime is 1045735643. The next prime is 1045735651. The reversal of 1045735645 is 5465375401.

It can be written as a sum of positive squares in 8 ways, for example, as 13205956 + 1032529689 = 3634^2 + 32133^2 .

It is not a de Polignac number, because 1045735645 - 21 = 1045735643 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1045735598 and 1045735607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045735643) 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 15 ways as a sum of consecutive naturals, for example, 93345 + ... + 103945.

It is an arithmetic number, because the mean of its divisors is an integer number (79594515).

Almost surely, 21045735645 is an apocalyptic number.

It is an amenable number.

1045735645 is a deficient number, since it is larger than the sum of its proper divisors (227776595).

1045735645 is a wasteful number, since it uses less digits than its factorization.

1045735645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10896.

The product of its (nonzero) digits is 252000, while the sum is 40.

The square root of 1045735645 is about 32337.8361211755. The cubic root of 1045735645 is about 1015.0185295945.

The spelling of 1045735645 in words is "one billion, forty-five million, seven hundred thirty-five thousand, six hundred forty-five".

Divisors: 1 5 109 181 545 905 10601 19729 53005 98645 1155509 1918781 5777545 9593905 209147129 1045735645