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11666160036 = 22321735354001
BaseRepresentation
bin10101101110101101…
…10111100110100100
31010010000221100000100
422313112313212210
5142343014110121
65205342144100
7562045503246
oct126726674644
933100840010
1011666160036
114a47274783
122316b82030
13113bc48c9b
147c955a096
154842ca026
hex2b75b79a4

11666160036 has 72 divisors (see below), whose sum is σ = 31313167704. Its totient is φ = 3649536000.

The previous prime is 11666160029. The next prime is 11666160047. The reversal of 11666160036 is 63006166611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1322049600 + 10344110436 = 36360^2 + 101706^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189036 + ... + 243036.

It is an arithmetic number, because the mean of its divisors is an integer number (434905107).

Almost surely, 211666160036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11666160036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15656583852).

11666160036 is an abundant number, since it is smaller than the sum of its proper divisors (19647007668).

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

11666160036 is a wasteful number, since it uses less digits than its factorization.

11666160036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54381 (or 54376 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 11666160036 in words is "eleven billion, six hundred sixty-six million, one hundred sixty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 353 612 706 1059 1412 2118 3177 4236 6001 6354 12002 12708 18003 24004 36006 54001 54009 72012 108002 108018 162003 216004 216036 324006 486009 648012 918017 972018 1836034 1944036 2754051 3672068 5508102 8262153 11016204 16524306 19062353 33048612 38124706 57187059 76249412 114374118 171561177 228748236 324060001 343122354 648120002 686244708 972180003 1296240004 1944360006 2916540009 3888720012 5833080018 11666160036