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1106161644 = 2237176731151
BaseRepresentation
bin100000111101110…
…1010111111101100
32212002102211111210
41001323222333230
54231134133034
6301432514420
736261135030
oct10173527754
92762384453
101106161644
11518443685
1226a54ba10
1314822a423
14a6ca41c0
15671a18e9
hex41eeafec

1106161644 has 96 divisors (see below), whose sum is σ = 3130638336. Its totient is φ = 296755200.

The previous prime is 1106161643. The next prime is 1106161669. The reversal of 1106161644 is 4461616011.

It is not an unprimeable number, because it can be changed into a prime (1106161643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960469 + ... + 961619.

It is an arithmetic number, because the mean of its divisors is an integer number (32610816).

Almost surely, 21106161644 is an apocalyptic number.

1106161644 is a gapful number since it is divisible by the number (14) 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 1106161644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565319168).

1106161644 is an abundant number, since it is smaller than the sum of its proper divisors (2024476692).

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

1106161644 is a wasteful number, since it uses less digits than its factorization.

1106161644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1106161644 is about 33259.0084638734. The cubic root of 1106161644 is about 1034.2039649166.

Adding to 1106161644 its reverse (4461616011), we get a palindrome (5567777655).

The spelling of 1106161644 in words is "one billion, one hundred six million, one hundred sixty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 673 714 1151 1346 1428 2019 2302 2692 3453 4038 4604 4711 6906 8057 8076 9422 11441 13812 14133 16114 18844 19567 22882 24171 28266 32228 34323 39134 45764 48342 56532 58701 68646 78268 80087 96684 117402 136969 137292 160174 234804 240261 273938 320348 410907 480522 547876 774623 821814 961044 1549246 1643628 2323869 3098492 4647738 5422361 9295476 10844722 13168591 16267083 21689444 26337182 32534166 39505773 52674364 65068332 79011546 92180137 158023092 184360274 276540411 368720548 553080822 1106161644