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6404000535 = 34541438969
BaseRepresentation
bin1011111011011010…
…10100101100010111
3121112022020221020000
411331231110230113
5101103411004120
62535243542343
7314461051332
oct57555245427
917468227200
106404000535
112796989429
1212a882a9b3
137b09ab23a
1444a735619
1527733b990
hex17db54b17

6404000535 has 80 divisors (see below), whose sum is σ = 12034582560. Its totient is φ = 3254307840.

The previous prime is 6404000489. The next prime is 6404000563. The reversal of 6404000535 is 5350004046.

It is not a de Polignac number, because 6404000535 - 211 = 6403998487 is a prime.

It is a super-2 number, since 2×64040005352 = 82022445704560572450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6404000499 and 6404000508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 709531 + ... + 718499.

It is an arithmetic number, because the mean of its divisors is an integer number (150432282).

Almost surely, 26404000535 is an apocalyptic number.

6404000535 is a deficient number, since it is larger than the sum of its proper divisors (5630582025).

6404000535 is a wasteful number, since it uses less digits than its factorization.

6404000535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9070 (or 9061 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 6404000535 is about 80024.9994376757. Note that the first 3 decimals coincide. The cubic root of 6404000535 is about 1857.0223036722.

The spelling of 6404000535 in words is "six billion, four hundred four million, five hundred thirty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 27 41 43 45 81 123 129 135 205 215 369 387 405 615 645 1107 1161 1763 1845 1935 3321 3483 5289 5535 5805 8815 8969 15867 16605 17415 26445 26907 44845 47601 79335 80721 134535 142803 238005 242163 367729 385667 403605 714015 726489 1103187 1157001 1210815 1838645 1928335 3309561 3471003 3632445 5515935 5785005 9928683 10413009 15812347 16547805 17355015 29786049 31239027 47437041 49643415 52065045 79061735 142311123 148930245 156195135 237185205 426933369 711555615 1280800107 2134666845 6404000535