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13343784500 = 2253172954133
BaseRepresentation
bin11000110110101100…
…11111111000110100
31021102221200111010202
430123112133320310
5204312002101000
610044031340032
7651446203544
oct143326377064
937387614122
1013343784500
115728244882
122704981618
13134868ca97
14908299324
1553170ddd5
hex31b59fe34

13343784500 has 96 divisors (see below), whose sum is σ = 31921737120. Its totient is φ = 4850227200.

The previous prime is 13343784499. The next prime is 13343784527. The reversal of 13343784500 is 548734331.

It can be written as a sum of positive squares in 16 ways, for example, as 11731922596 + 1611861904 = 108314^2 + 40148^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219434 + ... + 273566.

It is an arithmetic number, because the mean of its divisors is an integer number (332518095).

Almost surely, 213343784500 is an apocalyptic number.

13343784500 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 13343784500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960868560).

13343784500 is an abundant number, since it is smaller than the sum of its proper divisors (18577952620).

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

13343784500 is a wasteful number, since it uses less digits than its factorization.

13343784500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54198 (or 54186 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 13343784500 in words is "thirteen billion, three hundred forty-three million, seven hundred eighty-four thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 125 145 170 250 290 340 425 493 500 580 725 850 986 1450 1700 1972 2125 2465 2900 3625 4250 4930 7250 8500 9860 12325 14500 24650 49300 54133 61625 108266 123250 216532 246500 270665 541330 920261 1082660 1353325 1569857 1840522 2706650 3139714 3681044 4601305 5413300 6279428 6766625 7849285 9202610 13533250 15698570 18405220 23006525 26687569 27066500 31397140 39246425 46013050 53375138 78492850 92026100 106750276 115032625 133437845 156985700 196232125 230065250 266875690 392464250 460130500 533751380 667189225 784928500 1334378450 2668756900 3335946125 6671892250 13343784500