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6429000721 = 11131719181769
BaseRepresentation
bin1011111110011001…
…01100010000010001
3121121001022002000211
411333030230100101
5101131311010341
62541535444121
7315213414223
oct57714542021
917531262024
106429000721
1127aa004440
1212b5086641
137b5c22550
1444dba2413
15279629181
hex17f32c411

6429000721 has 64 divisors (see below), whose sum is σ = 8475667200. Its totient is φ = 4777574400.

The previous prime is 6429000713. The next prime is 6429000761. The reversal of 6429000721 is 1270009246.

It is a 6-Lehmer number, since φ(6429000721) divides (6429000721-1)6.

It is a cyclic number.

It is not a de Polignac number, because 6429000721 - 23 = 6429000713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6429000701) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8359825 + ... + 8360593.

It is an arithmetic number, because the mean of its divisors is an integer number (132432300).

Almost surely, 26429000721 is an apocalyptic number.

It is an amenable number.

6429000721 is a deficient number, since it is larger than the sum of its proper divisors (2046666479).

6429000721 is a wasteful number, since it uses less digits than its factorization.

6429000721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 6429000721 is about 80181.0496376794. The cubic root of 6429000721 is about 1859.4356711888.

Adding to 6429000721 its reverse (1270009246), we get a palindrome (7699009967).

The spelling of 6429000721 in words is "six billion, four hundred twenty-nine million, seven hundred twenty-one", and thus it is an aban number.

Divisors: 1 11 13 17 19 143 181 187 209 221 247 323 769 1991 2353 2431 2717 3077 3439 3553 4199 8459 9997 13073 14611 25883 33847 37829 40001 44707 46189 58463 109967 139189 143803 160721 169949 189943 248387 440011 491777 643093 760019 1531079 1809457 1869439 2089373 2366213 2644591 2732257 3229031 8360209 19904027 26028343 29090501 30760769 34379683 35519341 44958047 338368459 378176513 494538517 584454611 6429000721