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4468020084 = 22321111282879
BaseRepresentation
bin1000010100101000…
…01001001101110100
3102112101100221022100
410022110021031310
533122303120314
62015205102100
7215502354423
oct41224111564
912471327270
104468020084
111993098690
12a483b7930
1356288a588
143055832ba
151b23c2c09
hex10a509374

4468020084 has 36 divisors (see below), whose sum is σ = 12320904960. Its totient is φ = 1353945360.

The previous prime is 4468020071. The next prime is 4468020119. The reversal of 4468020084 is 4800208644.

4468020084 is a `hidden beast` number, since 446 + 8 + 0 + 200 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

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, 5641044 + ... + 5641835.

It is an arithmetic number, because the mean of its divisors is an integer number (342247360).

Almost surely, 24468020084 is an apocalyptic number.

4468020084 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4468020084 is an abundant number, since it is smaller than the sum of its proper divisors (7852884876).

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

4468020084 is a wasteful number, since it uses less digits than its factorization.

4468020084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11282900 (or 11282895 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4468020084 is about 66843.2501005150. The cubic root of 4468020084 is about 1647.0433840262.

The spelling of 4468020084 in words is "four billion, four hundred sixty-eight million, twenty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 11282879 22565758 33848637 45131516 67697274 101545911 124111669 135394548 203091822 248223338 372335007 406183644 496446676 744670014 1117005021 1489340028 2234010042 4468020084