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6424004202 = 23711311014441
BaseRepresentation
bin1011111101110011…
…01000011001101010
3121120200220020002120
411332321220121222
5101124021113302
62541240412110
7315123064140
oct57671503152
917520806076
106424004202
1127a7201490
1212b3477036
137b4b93225
1444d261590
15278e8d9bc
hex17ee6866a

6424004202 has 128 divisors (see below), whose sum is σ = 16702488576. Its totient is φ = 1598400000.

The previous prime is 6424004201. The next prime is 6424004207. The reversal of 6424004202 is 2024004246.

It is not an unprimeable number, because it can be changed into a prime (6424004201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1444302 + ... + 1448742.

It is an arithmetic number, because the mean of its divisors is an integer number (130488192).

Almost surely, 26424004202 is an apocalyptic number.

6424004202 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6424004202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8351244288).

6424004202 is an abundant number, since it is smaller than the sum of its proper divisors (10278484374).

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

6424004202 is a wasteful number, since it uses less digits than its factorization.

6424004202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 6424004202 is about 80149.8858514471. The cubic root of 6424004202 is about 1858.9538382172.

Adding to 6424004202 its reverse (2024004246), we get a palindrome (8448008448).

The spelling of 6424004202 in words is "six billion, four hundred twenty-four million, four thousand, two hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 101 154 186 202 217 231 303 341 434 462 606 651 682 707 1023 1111 1302 1414 2046 2121 2222 2387 3131 3333 4242 4441 4774 6262 6666 7161 7777 8882 9393 13323 14322 15554 18786 21917 23331 26646 31087 34441 43834 46662 48851 62174 65751 68882 93261 97702 103323 131502 137671 146553 186522 206646 241087 275342 293106 341957 413013 448541 482174 683914 723261 826026 897082 963697 1025871 1345623 1446522 1514381 1927394 2051742 2691246 2891091 3028762 3139787 4543143 4933951 5782182 6279574 9086286 9419361 9867902 10600667 13904771 14801853 18838722 21201334 27809542 29603706 31802001 34537657 41714313 63604002 69075314 83428626 97333397 103612971 152952481 194666794 207225942 292000191 305904962 458857443 584000382 917714886 1070667367 2141334734 3212002101 6424004202