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6424490820 = 22351110196377
BaseRepresentation
bin1011111101110110…
…11111001101000100
3121120201210221121110
411332323133031010
5101124132201240
62541255045020
7315130161636
oct57673371504
917521727543
106424490820
1127a7504050
1212b3670770
137b5003877
1444d34aa56
15279037c80
hex17eedf344

6424490820 has 96 divisors (see below), whose sum is σ = 19818400896. Its totient is φ = 1542016000.

The previous prime is 6424490803. The next prime is 6424490867. The reversal of 6424490820 is 280944246.

It is a super-3 number, since 3×64244908203 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18472 + ... + 114848.

It is an arithmetic number, because the mean of its divisors is an integer number (206441676).

Almost surely, 26424490820 is an apocalyptic number.

6424490820 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 6424490820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909200448).

6424490820 is an abundant number, since it is smaller than the sum of its proper divisors (13393910076).

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

6424490820 is a wasteful number, since it uses less digits than its factorization.

6424490820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96501 (or 96499 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 6424490820 is about 80152.9214689022. The cubic root of 6424490820 is about 1859.0007755858. Note that the first 3 decimals are identical.

The spelling of 6424490820 in words is "six billion, four hundred twenty-four million, four hundred ninety thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 96377 192754 289131 385508 481885 578262 963770 1060147 1156524 1445655 1927540 2120294 2891310 3180441 4240588 5300735 5782620 6360882 9734077 10601470 12721764 15902205 19468154 21202940 29202231 31804410 38936308 48670385 58404462 63608820 97340770 107074847 116808924 146011155 194681540 214149694 292022310 321224541 428299388 535374235 584044620 642449082 1070748470 1284898164 1606122705 2141496940 3212245410 6424490820