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16205054140 = 2251189827633
BaseRepresentation
bin11110001011110010…
…11000000010111100
31112211100200001012101
433011321120002330
5231141443213030
611240002314444
71112401454542
oct170571300274
945740601171
1016205054140
116966370030
123183058a24
1316b33bcb42
14ada2abd92
1564c9ec7ca
hex3c5e580bc

16205054140 has 48 divisors (see below), whose sum is σ = 37541478240. Its totient is φ = 5826529280.

The previous prime is 16205054119. The next prime is 16205054141. The reversal of 16205054140 is 4145050261.

16205054140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162050541402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16205054099 and 16205054108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16205054141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394237 + ... + 433396.

It is an arithmetic number, because the mean of its divisors is an integer number (782114130).

Almost surely, 216205054140 is an apocalyptic number.

16205054140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16205054140 is an abundant number, since it is smaller than the sum of its proper divisors (21336424100).

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

16205054140 is a wasteful number, since it uses less digits than its factorization.

16205054140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827742 (or 827740 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 16205054140 in words is "sixteen billion, two hundred five million, fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1780 1958 3916 4895 9790 19580 827633 1655266 3310532 4138165 8276330 9103963 16552660 18207926 36415852 45519815 73659337 91039630 147318674 182079260 294637348 368296685 736593370 810252707 1473186740 1620505414 3241010828 4051263535 8102527070 16205054140