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13938096357376 = 214291672
BaseRepresentation
bin1100101011010011011101…
…0010000100000000000000
31211100110122220022002020221
43022310313102010000000
53311330210131414001
645351023441112424
72635665010152262
oct312646722040000
954313586262227
1013938096357376
114494128034764
121691368328714
137a1483cb9209
14362870c43b32
151928664bd1a1
hexcad37484000

13938096357376 has 45 divisors (see below), whose sum is σ = 27876297748719. Its totient is φ = 6968809242624.

The previous prime is 13938096357347. The next prime is 13938096357403. The reversal of 13938096357376 is 67375369083931.

The square root of 13938096357376 is 3733376.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 477857545 + ... + 477886711.

Almost surely, 213938096357376 is an apocalyptic number.

13938096357376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13938096357376 is the 3733376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13938096357376

13938096357376 is an abundant number, since it is smaller than the sum of its proper divisors (13938201391343).

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

13938096357376 is an frugal number, since it uses more digits than its factorization.

13938096357376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58362 (or 29169 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 70.

The spelling of 13938096357376 in words is "thirteen trillion, nine hundred thirty-eight billion, ninety-six million, three hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 29167 58334 116668 233336 466672 933344 1866688 3733376 7466752 14933504 29867008 59734016 119468032 238936064 477872128 850713889 1701427778 3402855556 6805711112 13611422224 27222844448 54445688896 108891377792 217782755584 435565511168 871131022336 1742262044672 3484524089344 6969048178688 13938096357376