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20235162645 = 3251710122593
BaseRepresentation
bin10010110110000111…
…000001010000010101
31221020020000202202100
4102312013001100111
5312420200201040
613143525432313
71314306021165
oct226607012025
957206022670
1020235162645
118644249215
123b0886b699
131ba6323a29
14d9d61c5a5
157d671db30
hex4b61c1415

20235162645 has 72 divisors (see below), whose sum is σ = 37523278728. Its totient is φ = 10052812800.

The previous prime is 20235162637. The next prime is 20235162677. The reversal of 20235162645 is 54626153202.

20235162645 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 5 + 1 + 6 + 2 + 645 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2032026084 + 18203136561 = 45078^2 + 134919^2 .

It is not a de Polignac number, because 20235162645 - 23 = 20235162637 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7802469 + ... + 7805061.

It is an arithmetic number, because the mean of its divisors is an integer number (521156649).

Almost surely, 220235162645 is an apocalyptic number.

It is an amenable number.

20235162645 is a deficient number, since it is larger than the sum of its proper divisors (17288116083).

20235162645 is a wasteful number, since it uses less digits than its factorization.

20235162645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 20235162645 in words is "twenty billion, two hundred thirty-five million, one hundred sixty-two thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 101 153 255 303 505 765 909 1515 1717 2593 4545 5151 7779 8585 10201 12965 15453 23337 25755 30603 38895 44081 51005 77265 91809 116685 132243 153015 173417 220405 261893 396729 459045 520251 661215 785679 867085 1309465 1560753 1983645 2357037 2601255 3928395 4452181 7803765 11785185 13356543 22260905 26451193 40069629 66782715 79353579 132255965 200348145 238060737 396767895 449670281 1190303685 1349010843 2248351405 4047032529 6745054215 20235162645