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116228041989921 = 36227217592
BaseRepresentation
bin11010011011010101110011…
…001001111101111100100001
3120020112021220002022201000000
4122123111303021331330201
5110213240012222134141
61051110231514050213
733324125142125511
oct3233256311757441
9506467802281000
10116228041989921
113404104370a924
1211051934119969
134cb1346480664
14209b6781b1841
15d685588cc5b6
hex69b57327df21

116228041989921 has 63 divisors (see below), whose sum is σ = 175132966802241. Its totient is φ = 77100159376584.

The previous prime is 116228041989907. The next prime is 116228041989937. The reversal of 116228041989921 is 129989140822611.

The square root of 116228041989921 is 10780911.

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

116228041989921 is a `hidden beast` number, since 1 + 1 + 62 + 2 + 80 + 419 + 89 + 9 + 2 + 1 = 666.

It is not a de Polignac number, because 116228041989921 - 225 = 116228008435489 is a prime.

It is a super-4 number, since 4×1162280419899214 (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (116228041989901) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 66076202640 + ... + 66076204398.

Almost surely, 2116228041989921 is an apocalyptic number.

116228041989921 is the 10780911-st square number.

116228041989921 is the 5390456-th centered octagonal number.

It is an amenable number.

116228041989921 is a deficient number, since it is larger than the sum of its proper divisors (58904924812320).

116228041989921 is an frugal number, since it uses more digits than its factorization.

116228041989921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 116228041989921 in words is "one hundred sixteen trillion, two hundred twenty-eight billion, forty-one million, nine hundred eighty-nine thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 81 227 243 681 729 1759 2043 5277 6129 15831 18387 47493 51529 55161 142479 154587 165483 399293 427437 463761 1197879 1282311 1391283 3094081 3593637 4173849 9282243 10780911 12521547 27846729 32342733 37564641 83540187 90639511 97028199 250620561 271918533 291084597 702356387 751861683 815755599 2107069161 2255585049 2447266797 6321207483 7341800391 18963622449 22025401173 56890867347 66076203519 159434899849 170672602041 478304699547 512017806123 1434914098641 4304742295923 12914226887769 38742680663307 116228041989921