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11054266364112 = 24319311847211693
BaseRepresentation
bin1010000011011100010110…
…0111101011000011010000
31110010202222211101121020220
42200313011213223003100
52422103114142122422
635302132044033040
72220434011521366
oct240670547530320
943122884347226
1011054266364112
1135820a71a6514
1212a6483532780
1362254a03738a
142a305a755636
1514283088be5c
hexa0dc59eb0d0

11054266364112 has 160 divisors (see below), whose sum is σ = 31046466232320. Its totient is φ = 3376368852480.

The previous prime is 11054266364111. The next prime is 11054266364129. The reversal of 11054266364112 is 21146366245011.

It is a super-3 number, since 3×110542663641123 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11054266364111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52112538 + ... + 52324230.

It is an arithmetic number, because the mean of its divisors is an integer number (194040413952).

Almost surely, 211054266364112 is an apocalyptic number.

11054266364112 is a gapful number since it is divisible by the number (12) 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 11054266364112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523233116160).

11054266364112 is an abundant number, since it is smaller than the sum of its proper divisors (19992199868208).

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

11054266364112 is a wasteful number, since it uses less digits than its factorization.

11054266364112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213601 (or 213595 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 11054266364112 in words is "eleven trillion, fifty-four billion, two hundred sixty-six million, three hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 1847 2356 3534 3694 4712 5541 7068 7388 9424 11082 14136 14776 22164 28272 29552 35093 44328 57257 70186 88656 105279 114514 140372 171771 210558 211693 229028 280744 343542 421116 423386 458056 561488 635079 687084 842232 846772 916112 1087883 1270158 1374168 1684464 1693544 2175766 2540316 2748336 3263649 3387088 4022167 4351532 5080632 6527298 6562483 8044334 8703064 10161264 12066501 13054596 13124966 16088668 17406128 19687449 24133002 26109192 26249932 32177336 39374898 48266004 52218384 52499864 64354672 78749796 96532008 104999728 124687177 157499592 193064016 249374354 314999184 374061531 390996971 498748708 748123062 781993942 997497416 1172990913 1496246124 1563987884 1994994832 2345981826 2992492248 3127975768 4691963652 5984984496 6255951536 7428942449 9383927304 12120906101 14857884898 18767854608 22286827347 24241812202 29715769796 36362718303 44573654694 48483624404 59431539592 72725436606 89147309388 96967248808 118863079184 145450873212 178294618776 193934497616 230297215919 290901746424 356589237552 460594431838 581803492848 690891647757 921188863676 1381783295514 1842377727352 2763566591028 3684755454704 5527133182056 11054266364112