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1166827116 = 2237133728879
BaseRepresentation
bin100010110001100…
…0101111001101100
310000022120221220010
41011203011321230
54342201431431
6311441053220
740625603220
oct10543057154
93008527803
101166827116
11549709534
12286927210
1315797b260
14b0d76780
156c686846
hex458c5e6c

1166827116 has 96 divisors (see below), whose sum is σ = 3441571840. Its totient is φ = 299407104.

The previous prime is 1166827111. The next prime is 1166827117. The reversal of 1166827116 is 6117286611.

It is a super-2 number, since 2×11668271162 = 2722971037265754912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1166827111) 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, 25965 + ... + 54843.

Almost surely, 21166827116 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 1166827116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720785920).

1166827116 is an abundant number, since it is smaller than the sum of its proper divisors (2274744724).

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

1166827116 is a wasteful number, since it uses less digits than its factorization.

1166827116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28943 (or 28941 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 1166827116 is about 34158.8512101915. The cubic root of 1166827116 is about 1052.7748571918.

The spelling of 1166827116 in words is "one billion, one hundred sixty-six million, eight hundred twenty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 182 222 259 273 364 444 481 518 546 777 962 1036 1092 1443 1554 1924 2886 3108 3367 5772 6734 10101 13468 20202 28879 40404 57758 86637 115516 173274 202153 346548 375427 404306 606459 750854 808612 1068523 1126281 1212918 1501708 2137046 2252562 2425836 2627989 3205569 4274092 4505124 5255978 6411138 7479661 7883967 10511956 12822276 13890799 14959322 15767934 22438983 27781598 29918644 31535868 41672397 44877966 55563196 83344794 89755932 97235593 166689588 194471186 291706779 388942372 583413558 1166827116