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6421780848 = 243729192971
BaseRepresentation
bin1011111101100010…
…01001100101110000
3121120112201021020010
411332301021211300
5101122433441343
62541121014520
7315065144100
oct57661114560
917515637203
106421780848
1127a5a22aaa
1212b2784440
137b4595232
1444cc43200
15278b9ed33
hex17ec49970

6421780848 has 120 divisors (see below), whose sum is σ = 19325608320. Its totient is φ = 1832181120.

The previous prime is 6421780829. The next prime is 6421780853. The reversal of 6421780848 is 8480871246.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6421780797 and 6421780806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2160003 + ... + 2162973.

It is an arithmetic number, because the mean of its divisors is an integer number (161046736).

Almost surely, 26421780848 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 6421780848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9662804160).

6421780848 is an abundant number, since it is smaller than the sum of its proper divisors (12903827472).

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

6421780848 is a wasteful number, since it uses less digits than its factorization.

6421780848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 6421780848 is about 80136.0146750511. The cubic root of 6421780848 is about 1858.7393515700.

The spelling of 6421780848 in words is "six billion, four hundred twenty-one million, seven hundred eighty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 919 1176 1838 2352 2757 2971 3676 5514 5942 6433 7352 8913 11028 11884 12866 14704 17826 19299 20797 22056 23768 25732 35652 38598 41594 44112 45031 47536 51464 62391 71304 77196 83188 90062 102928 124782 135093 142608 145579 154392 166376 180124 249564 270186 291158 308784 332752 360248 436737 499128 540372 582316 720496 873474 998256 1080744 1164632 1746948 2161488 2329264 2730349 3493896 5460698 6987792 8191047 10921396 16382094 19112443 21842792 32764188 38224886 43685584 57337329 65528376 76449772 114674658 131056752 133787101 152899544 229349316 267574202 305799088 401361303 458698632 535148404 802722606 917397264 1070296808 1605445212 2140593616 3210890424 6421780848