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20245624443 = 32112337594073
BaseRepresentation
bin10010110110101110…
…111011011001111011
31221020221201021122100
4102312232323121323
5312430334440233
613144541554443
71314463653102
oct226656733173
957227637570
1020245624443
11864a144330
123b10275a23
131ba8547845
14da0b83039
157d75d8813
hex4b6bbb67b

20245624443 has 96 divisors (see below), whose sum is σ = 34776967680. Its totient is φ = 11223083520.

The previous prime is 20245624417. The next prime is 20245624453. The reversal of 20245624443 is 34442654202.

20245624443 is a `hidden beast` number, since 2 + 0 + 24 + 5 + 624 + 4 + 4 + 3 = 666.

It is not a de Polignac number, because 20245624443 - 26 = 20245624379 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20245624398 and 20245624407.

It is not an unprimeable number, because it can be changed into a prime (20245624453) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4968655 + ... + 4972727.

It is an arithmetic number, because the mean of its divisors is an integer number (362260080).

Almost surely, 220245624443 is an apocalyptic number.

20245624443 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

20245624443 is a deficient number, since it is larger than the sum of its proper divisors (14531343237).

20245624443 is a wasteful number, since it uses less digits than its factorization.

20245624443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 20245624443 in words is "twenty billion, two hundred forty-five million, six hundred twenty-four thousand, four hundred forty-three".

Divisors: 1 3 9 11 23 33 37 59 69 99 111 177 207 253 333 407 531 649 759 851 1221 1357 1947 2183 2277 2553 3663 4071 4073 5841 6549 7659 9361 12213 12219 14927 19647 24013 28083 36657 44781 44803 50209 72039 84249 93679 134343 134409 150627 150701 216117 240307 281037 403227 451881 452103 552299 720921 843111 1030469 1356309 1656897 1657711 2162763 2643377 3091407 3466123 4970691 4973133 5527061 7930131 8891359 9274221 10398369 14919399 16581183 23790393 26674077 31195107 38127353 49743549 60797671 80022231 97804949 114382059 182393013 204501257 293414847 343146177 547179039 613503771 880244541 1840511313 2249513827 6748541481 20245624443