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6443381880 = 23325132105907
BaseRepresentation
bin1100000000000111…
…00011010001111000
3121122001100201021100
412000003203101320
5101144001210010
62543212011400
7315446561625
oct60003432170
917561321240
106443381880
1128071371a1
1212b9a60b60
137b8bb9300
14451a6734c
1527aa1a2c0
hex1800e3478

6443381880 has 144 divisors (see below), whose sum is σ = 22675961880. Its totient is φ = 1586048256.

The previous prime is 6443381873. The next prime is 6443381887. The reversal of 6443381880 is 881833446.

6443381880 is a `hidden beast` number, since 64 + 433 + 81 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (6443381873) and next prime (6443381887).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6443381887) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7887 + ... + 113793.

Almost surely, 26443381880 is an apocalyptic number.

6443381880 is a gapful number since it is divisible by the number (60) 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 6443381880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11337980940).

6443381880 is an abundant number, since it is smaller than the sum of its proper divisors (16232580000).

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

6443381880 is a wasteful number, since it uses less digits than its factorization.

6443381880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105950 (or 105930 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6443381880 is about 80270.6788310651. The cubic root of 6443381880 is about 1860.8211081538.

The spelling of 6443381880 in words is "six billion, four hundred forty-three million, three hundred eighty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 169 180 195 234 260 312 338 360 390 468 507 520 585 676 780 845 936 1014 1170 1352 1521 1560 1690 2028 2340 2535 3042 3380 4056 4680 5070 6084 6760 7605 10140 12168 15210 20280 30420 60840 105907 211814 317721 423628 529535 635442 847256 953163 1059070 1270884 1376791 1588605 1906326 2118140 2541768 2753582 3177210 3812652 4130373 4236280 4765815 5507164 6354420 6883955 7625304 8260746 9531630 11014328 12391119 12708840 13767910 16521492 17898283 19063260 20651865 24782238 27535820 33042984 35796566 38126520 41303730 49564476 53694849 55071640 61955595 71593132 82607460 89491415 99128952 107389698 123911190 143186264 161084547 165214920 178982830 214779396 247822380 268474245 322169094 357965660 429558792 495644760 536948490 644338188 715931320 805422735 1073896980 1288676376 1610845470 2147793960 3221690940 6443381880