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1118918016 = 27335692
BaseRepresentation
bin100001010110001…
…0101010110000000
32212222102220222000
41002230111112000
54242420334031
6303010144000
736504434436
oct10254252600
92788386860
101118918016
11524666737
12272882000
1314aa75788
14a8864d56
15683713e6
hex42b15580

1118918016 has 96 divisors (see below), whose sum is σ = 3308176200. Its totient is φ = 372317184.

The previous prime is 1118918011. The next prime is 1118918063. The reversal of 1118918016 is 6108198111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1118918011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1966180 + ... + 1966748.

Almost surely, 21118918016 is an apocalyptic number.

1118918016 is a gapful number since it is divisible by the number (16) 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 1118918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654088100).

1118918016 is an abundant number, since it is smaller than the sum of its proper divisors (2189258184).

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

1118918016 is an frugal number, since it uses more digits than its factorization.

1118918016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 36.

The square root of 1118918016 is about 33450.2319274471. The cubic root of 1118918016 is about 1038.1642962228.

Multiplying 1118918016 by its product of nonzero digits (3456), we get a square (3866980663296 = 19664642).

1118918016 divided by its product of nonzero digits (3456) gives a square (323761 = 5692).

The spelling of 1118918016 in words is "one billion, one hundred eighteen million, nine hundred eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 569 576 864 1138 1152 1707 1728 2276 3414 3456 4552 5121 6828 9104 10242 13656 15363 18208 20484 27312 30726 36416 40968 54624 61452 72832 81936 109248 122904 163872 218496 245808 323761 327744 491616 647522 655488 971283 983232 1295044 1942566 1966464 2590088 2913849 3885132 5180176 5827698 7770264 8741547 10360352 11655396 15540528 17483094 20720704 23310792 31081056 34966188 41441408 46621584 62162112 69932376 93243168 124324224 139864752 186486336 279729504 372972672 559459008 1118918016