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459990229769 = 7293496492727
BaseRepresentation
bin1101011000110011000…
…11011110001100001001
31121222022111202210111122
412230121203132030021
530014024444323034
6551152215005025
745142662304040
oct6543143361411
91558274683448
10459990229769
11168098546994
1275195969775
13344b9057415
1418399631557
15be7336b62e
hex6b198de309

459990229769 has 16 divisors (see below), whose sum is σ = 545389152000. Its totient is φ = 379590732864.

The previous prime is 459990229747. The next prime is 459990229771. The reversal of 459990229769 is 967922099954.

It is a de Polignac number, because none of the positive numbers 2k-459990229769 is a prime.

It is a super-2 number, since 2×4599902297692 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (459990229799) 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 15 ways as a sum of consecutive naturals, for example, 3175517 + ... + 3317210.

It is an arithmetic number, because the mean of its divisors is an integer number (34086822000).

Almost surely, 2459990229769 is an apocalyptic number.

It is an amenable number.

459990229769 is a deficient number, since it is larger than the sum of its proper divisors (85398922231).

459990229769 is a wasteful number, since it uses less digits than its factorization.

459990229769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493112.

The product of its (nonzero) digits is 198404640, while the sum is 71.

The spelling of 459990229769 in words is "four hundred fifty-nine billion, nine hundred ninety million, two hundred twenty-nine thousand, seven hundred sixty-nine".

Divisors: 1 7 29 203 349 2443 10121 70847 6492727 45449089 188289083 1318023581 2265961723 15861732061 65712889967 459990229769