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6243517020 = 22351360713187
BaseRepresentation
bin1011101000010010…
…01000001001011100
3121010010021112020010
411310021020021130
5100241320021040
62511312123220
7310502006346
oct56411101134
917103245203
106243517020
112714336824
121262b36510
1378667b690
144332bc296
152681dae80
hex17424825c

6243517020 has 96 divisors (see below), whose sum is σ = 18859051008. Its totient is φ = 1534217472.

The previous prime is 6243517009. The next prime is 6243517127. The reversal of 6243517020 is 207153426.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466867 + ... + 480053.

It is an arithmetic number, because the mean of its divisors is an integer number (196448448).

Almost surely, 26243517020 is an apocalyptic number.

6243517020 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 6243517020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9429525504).

6243517020 is an abundant number, since it is smaller than the sum of its proper divisors (12615533988).

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

6243517020 is a wasteful number, since it uses less digits than its factorization.

6243517020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13819 (or 13817 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 6243517020 is about 79015.9289004439. The cubic root of 6243517020 is about 1841.3786355810.

The spelling of 6243517020 in words is "six billion, two hundred forty-three million, five hundred seventeen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 607 780 1214 1821 2428 3035 3642 6070 7284 7891 9105 12140 13187 15782 18210 23673 26374 31564 36420 39455 39561 47346 52748 65935 78910 79122 94692 118365 131870 157820 158244 171431 197805 236730 263740 342862 395610 473460 514293 685724 791220 857155 1028586 1714310 2057172 2571465 3428620 5142930 8004509 10285860 16009018 24013527 32018036 40022545 48027054 80045090 96054108 104058617 120067635 160090180 208117234 240135270 312175851 416234468 480270540 520293085 624351702 1040586170 1248703404 1560879255 2081172340 3121758510 6243517020