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1218015064 = 237192933907
BaseRepresentation
bin100100010011001…
…0110111101011000
310010212220120120001
41020212112331120
54443302440224
6320510142344
742116646220
oct11046267530
93125816501
101218015064
115755a0822
1229bab19b4
13165461296
14b7a9d080
1571de8544
hex48996f58

1218015064 has 64 divisors (see below), whose sum is σ = 2757484800. Its totient is φ = 492718464.

The previous prime is 1218015061. The next prime is 1218015089. The reversal of 1218015064 is 4605108121.

It is a super-2 number, since 2×12180150642 = 2967121392261848192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1218015061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309799 + ... + 313705.

It is an arithmetic number, because the mean of its divisors is an integer number (43085700).

Almost surely, 21218015064 is an apocalyptic number.

1218015064 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 1218015064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378742400).

1218015064 is an abundant number, since it is smaller than the sum of its proper divisors (1539469736).

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

1218015064 is a wasteful number, since it uses less digits than its factorization.

1218015064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1218015064 is about 34900.0725500679. The cubic root of 1218015064 is about 1067.9499174615.

The spelling of 1218015064 in words is "one billion, two hundred eighteen million, fifteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 293 532 586 1064 1172 2051 2344 3907 4102 5567 7814 8204 11134 15628 16408 22268 27349 31256 38969 44536 54698 74233 77938 109396 148466 155876 218792 296932 311752 519631 593864 1039262 1144751 2078524 2289502 4157048 4579004 8013257 9158008 16026514 21750269 32053028 43500538 64106056 87001076 152251883 174002152 304503766 609007532 1218015064