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1061121645 = 32531375337
BaseRepresentation
bin111111001111110…
…110111001101101
32201221200120020200
4333033312321231
54133121343040
6253143304113
735203246053
oct7717667155
92657616220
101061121645
114a4a80441
1225744b039
1313baba83c
14a0cdc1d3
1563256630
hex3f3f6e6d

1061121645 has 24 divisors (see below), whose sum is σ = 1845178296. Its totient is φ = 564115968.

The previous prime is 1061121637. The next prime is 1061121647. The reversal of 1061121645 is 5461211601.

1061121645 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 12 + 1 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56169 + 1061065476 = 237^2 + 32574^2 .

It is not a de Polignac number, because 1061121645 - 23 = 1061121637 is a prime.

It is a super-3 number, since 3×10611216453 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061121647) 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, 23584 + ... + 51753.

It is an arithmetic number, because the mean of its divisors is an integer number (76882429).

Almost surely, 21061121645 is an apocalyptic number.

1061121645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1061121645 is a deficient number, since it is larger than the sum of its proper divisors (784056651).

1061121645 is a wasteful number, since it uses less digits than its factorization.

1061121645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75661 (or 75658 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1061121645 is about 32574.8621639448. The cubic root of 1061121645 is about 1019.9723320061.

The spelling of 1061121645 in words is "one billion, sixty-one million, one hundred twenty-one thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 313 939 1565 2817 4695 14085 75337 226011 376685 678033 1130055 3390165 23580481 70741443 117902405 212224329 353707215 1061121645