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6420378780 = 223251710719609
BaseRepresentation
bin1011111101010111…
…10011010010011100
3121120110002000221200
411332223303102130
5101122104110110
62541030555500
7315050214324
oct57653632234
917513060850
106420378780
1127a5155672
1212b2208b90
137b41c3cca
1444c99a284
152789c46c0
hex17eaf349c

6420378780 has 144 divisors (see below), whose sum is σ = 20814524640. Its totient is φ = 1596248064.

The previous prime is 6420378779. The next prime is 6420378781. The reversal of 6420378780 is 878730246.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6420378779) and next prime (6420378781).

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 (6420378781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317616 + ... + 337224.

It is an arithmetic number, because the mean of its divisors is an integer number (144545310).

Almost surely, 26420378780 is an apocalyptic number.

6420378780 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 6420378780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10407262320).

6420378780 is an abundant number, since it is smaller than the sum of its proper divisors (14394145860).

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

6420378780 is a wasteful number, since it uses less digits than its factorization.

6420378780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19748 (or 19743 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6420378780 is about 80127.2661458008. The cubic root of 6420378780 is about 1858.6040688132.

The spelling of 6420378780 in words is "six billion, four hundred twenty million, three hundred seventy-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 107 153 170 180 204 214 255 306 321 340 428 510 535 612 642 765 963 1020 1070 1284 1530 1605 1819 1926 2140 3060 3210 3638 3852 4815 5457 6420 7276 9095 9630 10914 16371 18190 19260 19609 21828 27285 32742 36380 39218 54570 58827 65484 78436 81855 98045 109140 117654 163710 176481 196090 235308 294135 327420 333353 352962 392180 588270 666706 705924 882405 1000059 1176540 1333412 1666765 1764810 2000118 2098163 3000177 3333530 3529620 4000236 4196326 5000295 6000354 6294489 6667060 8392652 10000590 10490815 12000708 12588978 15000885 18883467 20001180 20981630 25177956 30001770 31472445 35668771 37766934 41963260 60003540 62944890 71337542 75533868 94417335 107006313 125889780 142675084 178343855 188834670 214012626 321018939 356687710 377669340 428025252 535031565 642037878 713375420 1070063130 1284075756 1605094695 2140126260 3210189390 6420378780