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11127765060016 = 2411219173932
BaseRepresentation
bin1010000111101110001001…
…1110111100100110110000
31110101210201002011012122021
42201323202132330212300
52424304130323410031
635400005200121224
72225645251236553
oct241734236744660
943353632135567
1011127765060016
113600293304600
1212b8776006214
13629461282897
142a682dcaa69a
151446d31ed511
hexa1ee27bc9b0

11127765060016 has 90 divisors (see below), whose sum is σ = 24946940693780. Its totient is φ = 4791585047040.

The previous prime is 11127765060007. The next prime is 11127765060017. The reversal of 11127765060016 is 61006056772111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11127765060017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 639775416 + ... + 639792808.

Almost surely, 211127765060016 is an apocalyptic number.

11127765060016 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 11127765060016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12473470346890).

11127765060016 is an abundant number, since it is smaller than the sum of its proper divisors (13819175633764).

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

11127765060016 is an frugal number, since it uses more digits than its factorization.

11127765060016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34835 (or 17425 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 11127765060016 in words is "eleven trillion, one hundred twenty-seven billion, seven hundred sixty-five million, sixty thousand, sixteen".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 418 484 836 968 1672 1936 2299 3344 4598 9196 17393 18392 34786 36784 69572 139144 191323 278288 330467 382646 660934 765292 1321868 1530584 2104553 2643736 3061168 3635137 4209106 5287472 7270274 8418212 14540548 16836424 29081096 33672848 39986507 58162192 79973014 159946028 302516449 319892056 605032898 639784112 1210065796 2420131592 3327680939 4840263184 5747812531 6655361878 11495625062 13310723756 22991250124 26621447512 36604490329 45982500248 53242895024 63225937841 73208980658 91965000496 126451875682 146417961316 252903751364 292835922632 505807502728 585671845264 695485316251 1011615005456 1390970632502 2781941265004 5563882530008 11127765060016