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6420758409 = 3313314313723
BaseRepresentation
bin1011111101011010…
…01111111110001001
3121120110210022201000
411332231033332021
5101122203232114
62541043045213
7315053355162
oct57655177611
917513708630
106420758409
1127a539490a
1212b2370809
137b42c7a40
1444ca58769
15278a4be09
hex17eb4ff89

6420758409 has 64 divisors (see below), whose sum is σ = 10821099520. Its totient is φ = 3734579520.

The previous prime is 6420758387. The next prime is 6420758411. The reversal of 6420758409 is 9048570246.

It is a happy number.

6420758409 is a `hidden beast` number, since 64 + 2 + 0 + 7 + 584 + 0 + 9 = 666.

It is not a de Polignac number, because 6420758409 - 28 = 6420758153 is a prime.

It is a super-2 number, since 2×64207584092 = 82452277093488422562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6420758459) 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, 461022 + ... + 474744.

It is an arithmetic number, because the mean of its divisors is an integer number (169079680).

Almost surely, 26420758409 is an apocalyptic number.

It is an amenable number.

6420758409 is a deficient number, since it is larger than the sum of its proper divisors (4400341111).

6420758409 is a wasteful number, since it uses less digits than its factorization.

6420758409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13819 (or 13813 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6420758409 is about 80129.6350235043. The cubic root of 6420758409 is about 1858.6407004058.

The spelling of 6420758409 in words is "six billion, four hundred twenty million, seven hundred fifty-eight thousand, four hundred nine".

Divisors: 1 3 9 13 27 31 39 43 93 117 129 279 351 387 403 559 837 1161 1209 1333 1677 3627 3999 5031 10881 11997 13723 15093 17329 35991 41169 51987 123507 155961 178399 370521 425413 467883 535197 590089 1276239 1605591 1770267 3828717 4816773 5310801 5530369 7671157 11486151 15932403 16591107 18292759 23013471 49773321 54878277 69040413 149319963 164634831 207121239 237805867 493904493 713417601 2140252803 6420758409