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6443139120 = 2435113177699
BaseRepresentation
bin1100000000000101…
…01000000000110000
3121122000220101021020
412000002220000300
5101143420422440
62543202455440
7315444531105
oct60002500060
917560811236
106443139120
112806a90870
1212b9964580
137b8b32972
14451a02aac
1527a9bd3d0
hex1800a8030

6443139120 has 160 divisors (see below), whose sum is σ = 21861100800. Its totient is φ = 1556843520.

The previous prime is 6443139103. The next prime is 6443139137. The reversal of 6443139120 is 219313446.

It is an interprime number because it is at equal distance from previous prime (6443139103) and next prime (6443139137).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833031 + ... + 840729.

It is an arithmetic number, because the mean of its divisors is an integer number (136631880).

Almost surely, 26443139120 is an apocalyptic number.

6443139120 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 6443139120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10930550400).

6443139120 is an abundant number, since it is smaller than the sum of its proper divisors (15417961680).

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

6443139120 is a wasteful number, since it uses less digits than its factorization.

6443139120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8043 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 6443139120 is about 80269.1666831044. The cubic root of 6443139120 is about 1860.7977385107.

The spelling of 6443139120 in words is "six billion, four hundred forty-three million, one hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 317 330 440 528 634 660 880 951 1268 1320 1585 1902 2536 2640 3170 3487 3804 4755 5072 6340 6974 7608 7699 9510 10461 12680 13948 15216 15398 17435 19020 20922 23097 25360 27896 30796 34870 38040 38495 41844 46194 52305 55792 61592 69740 76080 76990 83688 84689 92388 104610 115485 123184 139480 153980 167376 169378 184776 209220 230970 254067 278960 307960 338756 369552 418440 423445 461940 508134 615920 677512 836880 846890 923880 1016268 1270335 1355024 1693780 1847760 2032536 2440583 2540670 3387560 4065072 4881166 5081340 6775120 7321749 9762332 10162680 12202915 14643498 19524664 20325360 24405830 26846413 29286996 36608745 39049328 48811660 53692826 58573992 73217490 80539239 97623320 107385652 117147984 134232065 146434980 161078478 195246640 214771304 268464130 292869960 322156956 402696195 429542608 536928260 585739920 644313912 805392390 1073856520 1288627824 1610784780 2147713040 3221569560 6443139120