Search a number
-
+
16812828920 = 2353145729669
BaseRepresentation
bin11111010100001111…
…10110100011111000
31121101201022012110102
433222013312203320
5233413041011140
611420153134532
71133431454636
oct175207664370
947351265412
1016812828920
117148449238
1233126ba448
13177c2ab4a4
14b56cba356
15686053e15
hex3ea1f68f8

16812828920 has 64 divisors (see below), whose sum is σ = 39135916800. Its totient is φ = 6493731840.

The previous prime is 16812828919. The next prime is 16812828979. The reversal of 16812828920 is 2982821861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551846 + ... + 581514.

It is an arithmetic number, because the mean of its divisors is an integer number (611498700).

Almost surely, 216812828920 is an apocalyptic number.

16812828920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16812828920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19567958400).

16812828920 is an abundant number, since it is smaller than the sum of its proper divisors (22323087880).

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

16812828920 is a wasteful number, since it uses less digits than its factorization.

16812828920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30168 (or 30164 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The spelling of 16812828920 in words is "sixteen billion, eight hundred twelve million, eight hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 457 620 914 1240 1828 2285 3656 4570 9140 14167 18280 28334 29669 56668 59338 70835 113336 118676 141670 148345 237352 283340 296690 566680 593380 919739 1186760 1839478 3678956 4598695 7357912 9197390 13558733 18394780 27117466 36789560 54234932 67793665 108469864 135587330 271174660 420320723 542349320 840641446 1681282892 2101603615 3362565784 4203207230 8406414460 16812828920