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16243301840 = 245973895381
BaseRepresentation
bin11110010000010110…
…10001110111010000
31112221000122020011212
433020023101313100
5231231241124330
611243450155252
71113344534063
oct171013216720
945830566155
1016243301840
116985a140a7
123193a22b28
1316bb2c1c0c
14b013c68da
15651055295
hex3c82d1dd0

16243301840 has 80 divisors (see below), whose sum is σ = 38260207440. Its totient is φ = 6412615680.

The previous prime is 16243301791. The next prime is 16243301843. The reversal of 16243301840 is 4810334261.

It can be written as a sum of positive squares in 8 ways, for example, as 1653560896 + 14589740944 = 40664^2 + 120788^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 16243301797 and 16243301806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16243301843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3015950 + ... + 3021330.

It is an arithmetic number, because the mean of its divisors is an integer number (478252593).

Almost surely, 216243301840 is an apocalyptic number.

16243301840 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 16243301840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19130103720).

16243301840 is an abundant number, since it is smaller than the sum of its proper divisors (22016905600).

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

16243301840 is a wasteful number, since it uses less digits than its factorization.

16243301840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 16243301840 in words is "sixteen billion, two hundred forty-three million, three hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 389 485 776 778 970 1552 1556 1940 1945 3112 3880 3890 5381 6224 7760 7780 10762 15560 21524 26905 31120 37733 43048 53810 75466 86096 107620 150932 188665 215240 301864 377330 430480 521957 603728 754660 1043914 1509320 2087828 2093209 2609785 3018640 4175656 4186418 5219570 8351312 8372836 10439140 10466045 16745672 20878280 20932090 33491344 41756560 41864180 83728360 167456720 203041273 406082546 812165092 1015206365 1624330184 2030412730 3248660368 4060825460 8121650920 16243301840