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1986377968 = 242927115797
BaseRepresentation
bin111011001100101…
…1011100011110000
312010102201110022101
41312121123203300
513032003043333
6525034550144
7100136635261
oct16631334360
95112643271
101986377968
1192a293193
12475298354
132586b7ca3
1414bb50968
15b95c167d
hex7665b8f0

1986377968 has 40 divisors (see below), whose sum is σ = 3996262080. Its totient is φ = 955342080.

The previous prime is 1986377951. The next prime is 1986377977. The reversal of 1986377968 is 8697736891.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117846 + ... + 133642.

It is an arithmetic number, because the mean of its divisors is an integer number (99906552).

Almost surely, 21986377968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1986377968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998131040).

1986377968 is an abundant number, since it is smaller than the sum of its proper divisors (2009884112).

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

1986377968 is a wasteful number, since it uses less digits than its factorization.

1986377968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16105 (or 16099 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 64.

The square root of 1986377968 is about 44568.8003877152. The cubic root of 1986377968 is about 1257.0540835484.

The spelling of 1986377968 in words is "one billion, nine hundred eighty-six million, three hundred seventy-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 271 464 542 1084 2168 4336 7859 15718 15797 31436 31594 62872 63188 125744 126376 252752 458113 916226 1832452 3664904 4280987 7329808 8561974 17123948 34247896 68495792 124148623 248297246 496594492 993188984 1986377968