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16105000350 = 23521994391229
BaseRepresentation
bin11101111111110111…
…01100110110011110
31112120101101210012110
432333323230312132
5230440340002400
611222030014450
71110045146535
oct167773546636
945511353173
1016105000350
11691494214a
123155647426
13169875aa0a
14acaca531c
15643d36e50
hex3bfeecd9e

16105000350 has 96 divisors (see below), whose sum is σ = 40265280000. Its totient is φ = 4259882880.

The previous prime is 16105000321. The next prime is 16105000363. The reversal of 16105000350 is 5300050161.

It is a happy number.

It is a Curzon number.

It is a congruent number.

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, 13103536 + ... + 13104764.

It is an arithmetic number, because the mean of its divisors is an integer number (419430000).

Almost surely, 216105000350 is an apocalyptic number.

16105000350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16105000350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132640000).

16105000350 is an abundant number, since it is smaller than the sum of its proper divisors (24160279650).

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

16105000350 is a wasteful number, since it uses less digits than its factorization.

16105000350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The spelling of 16105000350 in words is "sixteen billion, one hundred five million, three hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 199 398 439 597 878 995 1194 1229 1317 1990 2195 2458 2634 2985 3687 4390 4975 5970 6145 6585 7374 9950 10975 12290 13170 14925 18435 21950 29850 30725 32925 36870 61450 65850 87361 92175 174722 184350 244571 262083 436805 489142 524166 539531 733713 873610 1079062 1222855 1310415 1467426 1618593 2184025 2445710 2620830 2697655 3237186 3668565 4368050 5395310 6114275 6552075 7337130 8092965 12228550 13104150 13488275 16185930 18342825 26976550 36685650 40464825 80929650 107366669 214733338 322100007 536833345 644200014 1073666690 1610500035 2684166725 3221000070 5368333450 8052500175 16105000350