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11269928166 = 23721913115401
BaseRepresentation
bin10100111111011110…
…10111010011100110
31002002102100200001220
422133233113103212
5141040100200131
65102145401210
7546164544300
oct123757272346
932072320056
1011269928166
114863642922
122226339206
1310a7b26863
1478ca96970
1545e60ce96
hex29fbd74e6

11269928166 has 96 divisors (see below), whose sum is σ = 27812315520. Its totient is φ = 3027024000.

The previous prime is 11269928141. The next prime is 11269928183. The reversal of 11269928166 is 66182996211.

It is a super-2 number, since 2×112699281662 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724066 + ... + 739466.

It is an arithmetic number, because the mean of its divisors is an integer number (289711620).

Almost surely, 211269928166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11269928166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13906157760).

11269928166 is an abundant number, since it is smaller than the sum of its proper divisors (16542387354).

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

11269928166 is a wasteful number, since it uses less digits than its factorization.

11269928166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15570 (or 15563 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The spelling of 11269928166 in words is "eleven billion, two hundred sixty-nine million, nine hundred twenty-eight thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 131 133 147 262 266 294 393 399 786 798 917 931 1834 1862 2489 2751 2793 4978 5502 5586 6419 7467 12838 14934 15401 17423 19257 30802 34846 38514 46203 52269 92406 104538 107807 121961 215614 243922 292619 323421 365883 585238 646842 731766 754649 877857 1509298 1755714 2017531 2048333 2263947 4035062 4096666 4527894 6052593 6144999 12105186 12289998 14122717 14338331 28245434 28676662 38333089 42368151 43014993 76666178 84736302 86029986 98859019 114999267 197718038 229998534 268331623 296577057 536663246 593154114 804994869 1609989738 1878321361 3756642722 5634964083 11269928166