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2018986368 = 273717223113
BaseRepresentation
bin111100001010111…
…0100100110000000
312012201002010121220
41320111310212000
513113330030433
6532201515040
7101014046430
oct17025644600
95181063556
102018986368
11946735383
124841a2a80
132623942b9
141521dc2c0
15bc3b32b3
hex78574980

2018986368 has 384 divisors, whose sum is σ = 6854008320. Its totient is φ = 514719744.

The previous prime is 2018986367. The next prime is 2018986381. The reversal of 2018986368 is 8636898102.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2018986368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018986367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17867080 + ... + 17867192.

It is an arithmetic number, because the mean of its divisors is an integer number (17848980).

Almost surely, 22018986368 is an apocalyptic number.

2018986368 is a gapful number since it is divisible by the number (28) 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 2018986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427004160).

2018986368 is an abundant number, since it is smaller than the sum of its proper divisors (4835021952).

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

2018986368 is a wasteful number, since it uses less digits than its factorization.

2018986368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 2018986368 is about 44933.1321855043. The cubic root of 2018986368 is about 1263.8953873791.

The spelling of 2018986368 in words is "two billion, eighteen million, nine hundred eighty-six thousand, three hundred sixty-eight".