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11106506070066 = 2311974139419147
BaseRepresentation
bin1010000110011110111101…
…0110010101100000110010
31110022202211111121121212010
42201213233112111200302
52423432111023220231
635342131454143350
72224263400635201
oct241475726254062
943282744547763
1011106506070066
1135a2274148820
1212b46224b1b56
13627453acb4a4
142a57b46db238
15143d8bb93546
hexa19ef595832

11106506070066 has 64 divisors (see below), whose sum is σ = 24488168624640. Its totient is φ = 3330098204160.

The previous prime is 11106506070031. The next prime is 11106506070097. The reversal of 11106506070066 is 66007060560111.

11106506070066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26288305 + ... + 26707451.

It is an arithmetic number, because the mean of its divisors is an integer number (382627634760).

Almost surely, 211106506070066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11106506070066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12244084312320).

11106506070066 is an abundant number, since it is smaller than the sum of its proper divisors (13381662554574).

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

11106506070066 is a wasteful number, since it uses less digits than its factorization.

11106506070066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423399.

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 11106506070066 in words is "eleven trillion, one hundred six billion, five hundred six million, seventy thousand, sixty-six".

Divisors: 1 2 3 6 11 22 33 66 97 194 291 582 1067 2134 3201 4139 6402 8278 12417 24834 45529 91058 136587 273174 401483 419147 802966 838294 1204449 1257441 2408898 2514882 4416313 4610617 8832626 9221234 13248939 13831851 26497878 27663702 40657259 81314518 121971777 243943554 447229849 894459698 1341689547 1734849433 2683379094 3469698866 5204548299 10409096598 19083343763 38166687526 57250031289 114500062578 168280395001 336560790002 504841185003 1009682370006 1851084345011 3702168690022 5553253035033 11106506070066