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1118008164 = 2237136831499
BaseRepresentation
bin100001010100011…
…0111001101100100
32212220201200212210
41002220313031210
54242202230124
6302534443420
736463625010
oct10250671544
92786650783
101118008164
115240a5099
12272503570
1314a8175c0
14a86a9540
1568241a29
hex42a37364

1118008164 has 96 divisors (see below), whose sum is σ = 3217536000. Its totient is φ = 294231168.

The previous prime is 1118008153. The next prime is 1118008181. The reversal of 1118008164 is 4618008111.

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, 745087 + ... + 746585.

It is an arithmetic number, because the mean of its divisors is an integer number (33516000).

Almost surely, 21118008164 is an apocalyptic number.

1118008164 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 1118008164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608768000).

1118008164 is an abundant number, since it is smaller than the sum of its proper divisors (2099527836).

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

1118008164 is a wasteful number, since it uses less digits than its factorization.

1118008164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 1118008164 is about 33436.6290765083. The cubic root of 1118008164 is about 1037.8828243033.

The spelling of 1118008164 in words is "one billion, one hundred eighteen million, eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 683 1092 1366 1499 2049 2732 2998 4098 4497 4781 5996 8196 8879 8994 9562 10493 14343 17758 17988 19124 19487 20986 26637 28686 31479 35516 38974 41972 53274 57372 58461 62153 62958 77948 106548 116922 124306 125916 136409 186459 233844 248612 272818 372918 409227 545636 745836 818454 1023817 1636908 2047634 3071451 4095268 6142902 7166719 12285804 13309621 14333438 21500157 26619242 28666876 39928863 43000314 53238484 79857726 86000628 93167347 159715452 186334694 279502041 372669388 559004082 1118008164