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193902838336 = 2619228972
BaseRepresentation
bin1011010010010110000…
…0101000001001000000
3200112111102101210002001
42310211200220021000
511134103111311321
6225024442433344
720003043634324
oct2644540501100
9615442353061
10193902838336
1175263108419
12316b5802854
13153920947cc
14955641d984
15509d047c91
hex2d25828240

193902838336 has 63 divisors (see below), whose sum is σ = 406233397209. Its totient is φ = 91817008128.

The previous prime is 193902838289. The next prime is 193902838343. The reversal of 193902838336 is 633838209391.

It is a happy number.

The square root of 193902838336 is 440344.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21963240000 + 171939598336 = 148200^2 + 414656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66930840 + ... + 66933736.

Almost surely, 2193902838336 is an apocalyptic number.

193902838336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

193902838336 is the 440344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193902838336

193902838336 is an abundant number, since it is smaller than the sum of its proper divisors (212330558873).

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

193902838336 is an frugal number, since it uses more digits than its factorization.

193902838336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5844 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 55.

The spelling of 193902838336 in words is "one hundred ninety-three billion, nine hundred two million, eight hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 2897 5776 5794 11552 11588 23104 23176 46352 55043 92704 110086 185408 220172 440344 880688 1045817 1761376 2091634 3522752 4183268 8366536 8392609 16733072 16785218 33466144 33570436 66932288 67140872 134281744 159459571 268563488 318919142 537126976 637838284 1275676568 2551353136 3029731849 5102706272 6059463698 10205412544 12118927396 24237854792 48475709584 96951419168 193902838336