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4443306516 = 223511537841
BaseRepresentation
bin1000010001101011…
…10111101000010100
3102110122212100200000
410020311313220110
533044441302031
62012523251300
7215052324255
oct41065675024
912418770600
104443306516
111980148a50
12a40079b30
1355a71686c
1430218cb2c
151b01403e6
hex108d77a14

4443306516 has 144 divisors (see below), whose sum is σ = 12947957568. Its totient is φ = 1320883200.

The previous prime is 4443306457. The next prime is 4443306523. The reversal of 4443306516 is 6156033444.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562756 + ... + 570596.

It is an arithmetic number, because the mean of its divisors is an integer number (89916372).

Almost surely, 24443306516 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 4443306516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473978784).

4443306516 is an abundant number, since it is smaller than the sum of its proper divisors (8504651052).

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

4443306516 is a wasteful number, since it uses less digits than its factorization.

4443306516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7924 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4443306516 is about 66658.1316569854. The cubic root of 4443306516 is about 1644.0010522664.

The spelling of 4443306516 in words is "four billion, four hundred forty-three million, three hundred six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 81 99 106 108 132 159 162 198 212 243 297 318 324 396 477 486 583 594 636 891 954 972 1166 1188 1431 1749 1782 1908 2332 2673 2862 3498 3564 4293 5247 5346 5724 6996 7841 8586 10494 10692 12879 15682 15741 17172 20988 23523 25758 31364 31482 47046 47223 51516 62964 70569 86251 94092 94446 141138 141669 172502 188892 211707 258753 282276 283338 345004 415573 423414 517506 566676 635121 776259 831146 846828 1035012 1246719 1270242 1552518 1662292 1905363 2328777 2493438 2540484 3105036 3740157 3810726 4571303 4657554 4986876 6986331 7480314 7621452 9142606 9315108 11220471 13713909 13972662 14960628 18285212 20958993 22440942 27427818 27945324 33661413 41141727 41917986 44881884 54855636 67322826 82283454 83835972 100984239 123425181 134645652 164566908 201968478 246850362 370275543 403936956 493700724 740551086 1110826629 1481102172 2221653258 4443306516