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6423213020 = 22572173112437
BaseRepresentation
bin1011111101101101…
…00111001111011100
3121120122102000210112
411332312213033130
5101123320304040
62541211425152
7315113260400
oct57666471734
917518360715
106423213020
1127a6811014
1212b31551b8
137b4977083
1444d0d7100
15278d84365
hex17eda73dc

6423213020 has 144 divisors (see below), whose sum is σ = 17151305472. Its totient is φ = 2005678080.

The previous prime is 6423212981. The next prime is 6423213023. The reversal of 6423213020 is 203123246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6423213023) 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, 510242 + ... + 522678.

It is an arithmetic number, because the mean of its divisors is an integer number (119106288).

Almost surely, 26423213020 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 6423213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8575652736).

6423213020 is an abundant number, since it is smaller than the sum of its proper divisors (10728092452).

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

6423213020 is a wasteful number, since it uses less digits than its factorization.

6423213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12508 (or 12499 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 6423213020 is about 80144.9500592520. The cubic root of 6423213020 is about 1858.8775186740.

Adding to 6423213020 its reverse (203123246), we get a palindrome (6626336266).

The spelling of 6423213020 in words is "six billion, four hundred twenty-three million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 31 34 35 49 62 68 70 85 98 119 124 140 155 170 196 217 238 245 310 340 434 476 490 527 595 620 833 868 980 1054 1085 1190 1519 1666 2108 2170 2380 2635 3038 3332 3689 4165 4340 5270 6076 7378 7595 8330 10540 12437 14756 15190 16660 18445 24874 25823 30380 36890 49748 51646 62185 73780 87059 103292 124370 129115 174118 211429 248740 258230 348236 385547 422858 435295 516460 609413 771094 845716 870590 1057145 1218826 1480003 1542188 1741180 1927735 2114290 2437652 2698829 2960006 3047065 3855470 4228580 5397658 5920012 6094130 6554299 7400015 7710940 10360021 10795316 12188260 13108598 13494145 14800030 18891803 20720042 26217196 26988290 29600060 32771495 37783606 41440084 45880093 51800105 53976580 65542990 75567212 91760186 94459015 103600210 131085980 183520372 188918030 207200420 229400465 321160651 377836060 458800930 642321302 917601860 1284642604 1605803255 3211606510 6423213020