Search a number
-
+
20305543410 = 23251717974143
BaseRepresentation
bin10010111010010011…
…100000000011110010
31221102010110111000100
4102322103200003302
5313041204342120
613154522133230
71316122162005
oct227223400362
957363414010
1020305543410
11867aa4a339
123b28351216
131bb7a96959
14da8add53c
157dc9c2490
hex4ba4e00f2

20305543410 has 96 divisors (see below), whose sum is σ = 56213015040. Its totient is φ = 5067753984.

The previous prime is 20305543381. The next prime is 20305543429. The reversal of 20305543410 is 1434550302.

20305543410 is a `hidden beast` number, since 203 + 0 + 5 + 5 + 43 + 410 = 666.

20305543410 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236799 + ... + 310941.

It is an arithmetic number, because the mean of its divisors is an integer number (585552240).

Almost surely, 220305543410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20305543410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28106507520).

20305543410 is an abundant number, since it is smaller than the sum of its proper divisors (35907471630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20305543410 is a wasteful number, since it uses less digits than its factorization.

20305543410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74352 (or 74349 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 20305543410 in words is "twenty billion, three hundred five million, five hundred forty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 179 255 306 358 510 537 765 895 1074 1530 1611 1790 2685 3043 3222 5370 6086 8055 9129 15215 16110 18258 27387 30430 45645 54774 74143 91290 136935 148286 222429 273870 370715 444858 667287 741430 1112145 1260431 1334574 2224290 2520862 3336435 3781293 6302155 6672870 7562586 11343879 12604310 13271597 18906465 22687758 26543194 37812930 39814791 56719395 66357985 79629582 113438790 119444373 132715970 199073955 225617149 238888746 398147910 451234298 597221865 676851447 1128085745 1194443730 1353702894 2030554341 2256171490 3384257235 4061108682 6768514470 10152771705 20305543410