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16938052096 = 29716372887
BaseRepresentation
bin11111100011001011…
…00010101000000000
31121201102221012100211
433301211202220000
5234142120131341
611440425123504
71136512032040
oct176145425000
947642835324
1016938052096
1172020a8269
123348629594
13179c213944
14b69795720
1569203c181
hex3f1962a00

16938052096 has 80 divisors (see below), whose sum is σ = 38714772096. Its totient is φ = 7252217856.

The previous prime is 16938052093. The next prime is 16938052099. The reversal of 16938052096 is 69025083961.

It is an interprime number because it is at equal distance from previous prime (16938052093) and next prime (16938052099).

It is not an unprimeable number, because it can be changed into a prime (16938052093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5865565 + ... + 5868451.

Almost surely, 216938052096 is an apocalyptic number.

16938052096 is a gapful number since it is divisible by the number (16) 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 16938052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19357386048).

16938052096 is an abundant number, since it is smaller than the sum of its proper divisors (21776720000).

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

16938052096 is an equidigital number, since it uses as much as digits as its factorization.

16938052096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The spelling of 16938052096 in words is "sixteen billion, nine hundred thirty-eight million, fifty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1637 1792 2887 3274 3584 5774 6548 11459 11548 13096 20209 22918 23096 26192 40418 45836 46192 52384 80836 91672 92384 104768 161672 183344 184768 209536 323344 366688 369536 419072 646688 733376 739072 838144 1293376 1466752 1478144 2586752 2933504 4726019 5173504 5867008 9452038 10347008 18904076 33082133 37808152 66164266 75616304 132328532 151232608 264657064 302465216 529314128 604930432 1058628256 1209860864 2117256512 2419721728 4234513024 8469026048 16938052096