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16993656640 = 2652912714419
BaseRepresentation
bin11111101001110011…
…01001111101000000
31121212022120012110101
433310321221331000
5234300334003030
611450133012144
71141055461312
oct176471517500
947768505411
1016993656640
117230526834
123363184054
1317aa8b203c
14b72d0b7b2
15696d727ca
hex3f4e69f40

16993656640 has 112 divisors (see below), whose sum is σ = 42194073600. Its totient is φ = 6510938112.

The previous prime is 16993656623. The next prime is 16993656649. The reversal of 16993656640 is 4665639961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16993656649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1171351 + ... + 1185769.

It is an arithmetic number, because the mean of its divisors is an integer number (376732800).

Almost surely, 216993656640 is an apocalyptic number.

16993656640 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 16993656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097036800).

16993656640 is an abundant number, since it is smaller than the sum of its proper divisors (25200416960).

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

16993656640 is a wasteful number, since it uses less digits than its factorization.

16993656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14592 (or 14582 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 55.

It can be divided in two parts, 169936 and 56640, that added together give a square (226576 = 4762).

The spelling of 16993656640 in words is "sixteen billion, nine hundred ninety-three million, six hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 127 145 160 232 254 290 320 464 508 580 635 928 1016 1160 1270 1856 2032 2320 2540 3683 4064 4640 5080 7366 8128 9280 10160 14419 14732 18415 20320 28838 29464 36830 40640 57676 58928 72095 73660 115352 117856 144190 147320 230704 235712 288380 294640 418151 461408 576760 589280 836302 922816 1153520 1178560 1672604 1831213 2090755 2307040 3345208 3662426 4181510 4614080 6690416 7324852 8363020 9156065 13380832 14649704 16726040 18312130 26761664 29299408 33452080 36624260 53105177 58598816 66904160 73248520 106210354 117197632 133808320 146497040 212420708 265525885 292994080 424841416 531051770 585988160 849682832 1062103540 1699365664 2124207080 3398731328 4248414160 8496828320 16993656640