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1004986368 = 2133243317
BaseRepresentation
bin111011111001101…
…110000000000000
32121001001121010100
4323321232000000
54024234030433
6243420202400
733622146261
oct7371560000
92531047110
101004986368
1147631a151
12240699400
131302949b9
1497688968
155d368b13
hex3be6e000

1004986368 has 168 divisors, whose sum is σ = 2980002168. Its totient is φ = 326172672.

The previous prime is 1004986363. The next prime is 1004986393. The reversal of 1004986368 is 8636894001.

1004986368 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 9 + 8 + 636 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004986363) 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 11 ways as a sum of consecutive naturals, for example, 3170146 + ... + 3170462.

Almost surely, 21004986368 is an apocalyptic number.

1004986368 is a gapful number since it is divisible by the number (18) 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 1004986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490001084).

1004986368 is an abundant number, since it is smaller than the sum of its proper divisors (1975015800).

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

1004986368 is an equidigital number, since it uses as much as digits as its factorization.

1004986368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1004986368 is about 31701.5199635601. The cubic root of 1004986368 is about 1001.6593676427.

The spelling of 1004986368 in words is "one billion, four million, nine hundred eighty-six thousand, three hundred sixty-eight".