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20381790645 = 3454110911261
BaseRepresentation
bin10010111110110110…
…010111000110110101
31221121102221020120000
4102332312113012311
5313220214300040
613210244301513
71321036235106
oct227666270665
957542836500
1020381790645
118709a97a87
123b499a1899
131bca811b68
14db4caa3ad
157e4534130
hex4bed971b5

20381790645 has 80 divisors (see below), whose sum is σ = 37774099440. Its totient is φ = 10506931200.

The previous prime is 20381790623. The next prime is 20381790647. The reversal of 20381790645 is 54609718302.

It can be written as a sum of positive squares in 8 ways, for example, as 178863876 + 20202926769 = 13374^2 + 142137^2 .

It is not a de Polignac number, because 20381790645 - 26 = 20381790581 is a prime.

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 20381790645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20381790647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1804315 + ... + 1815575.

It is an arithmetic number, because the mean of its divisors is an integer number (472176243).

It is a 2-persistent number, because it is pandigital, and so is 2⋅20381790645 = 40763581290, but 3⋅20381790645 = 61145371935 is not.

Almost surely, 220381790645 is an apocalyptic number.

It is an amenable number.

20381790645 is a deficient number, since it is larger than the sum of its proper divisors (17392308795).

20381790645 is a wasteful number, since it uses less digits than its factorization.

20381790645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428 (or 11419 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 20381790645 in words is "twenty billion, three hundred eighty-one million, seven hundred ninety thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 27 41 45 81 109 123 135 205 327 369 405 545 615 981 1107 1635 1845 2943 3321 4469 4905 5535 8829 11261 13407 14715 16605 22345 33783 40221 44145 56305 67035 101349 120663 168915 201105 304047 361989 461701 506745 603315 912141 1227449 1385103 1520235 1809945 2308505 3682347 4155309 4560705 6137245 6925515 11047041 12465927 18411735 20776545 33141123 37397781 50325409 55235205 62329635 99423369 150976227 165705615 186988905 251627045 452928681 497116845 754881135 1358786043 2264643405 4076358129 6793930215 20381790645