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4468381512 = 233734137793
BaseRepresentation
bin1000010100101011…
…00001011101001000
3102112102001022002120
410022111201131020
533122401202022
62015220531240
7215505421230
oct41225413510
912472038076
104468381512
111993315191
12a48550b20
13562985c3a
14305638cc0
151b2444d5c
hex10a561748

4468381512 has 64 divisors (see below), whose sum is σ = 12772183680. Its totient is φ = 1276142592.

The previous prime is 4468381483. The next prime is 4468381513. The reversal of 4468381512 is 2151838644.

It is a happy number.

It is a super-2 number, since 2×44683815122 = 39932866673566812288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4468381513) 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 15 ways as a sum of consecutive naturals, for example, 569488 + ... + 577280.

It is an arithmetic number, because the mean of its divisors is an integer number (199565370).

Almost surely, 24468381512 is an apocalyptic number.

4468381512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4468381512 is an abundant number, since it is smaller than the sum of its proper divisors (8303802168).

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

4468381512 is a wasteful number, since it uses less digits than its factorization.

4468381512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222 (or 11218 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 4468381512 is about 66845.9535948138. The cubic root of 4468381512 is about 1647.0877938196.

The spelling of 4468381512 in words is "four billion, four hundred sixty-eight million, three hundred eighty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 3413 6826 7793 10239 13652 15586 20478 23379 23891 27304 31172 40956 46758 47782 54551 62344 71673 81912 93516 95564 109102 143346 163653 187032 191128 218204 286692 327306 436408 573384 654612 1309224 26597509 53195018 79792527 106390036 159585054 186182563 212780072 319170108 372365126 558547689 638340216 744730252 1117095378 1489460504 2234190756 4468381512