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28418889297969 = 32419242412
BaseRepresentation
bin1100111011000110010011…
…10011010011000000110001
310201121211010020222001000100
412131203021303103000301
512211103341130013334
6140235242453343013
75662124366230542
oct635431163230061
9121554106861010
1028418889297969
119067424147825
12322b930637a69
1312b1b74a63c01
147036a565c4c9
15344391bb3c99
hex19d8c9cd3031

28418889297969 has 27 divisors (see below), whose sum is σ = 41157415414219. Its totient is φ = 18896252527680.

The previous prime is 28418889297947. The next prime is 28418889297979. The reversal of 28418889297969 is 96979298881482.

The square root of 28418889297969 is 5330937.

It is a perfect power (a square), and thus also a powerful number.

28418889297969 is a `hidden beast` number, since 2 + 8 + 4 + 188 + 89 + 297 + 9 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27991644048369 + 427245249600 = 5290713^2 + 653640^2 .

It is not a de Polignac number, because 28418889297969 - 211 = 28418889295921 is a prime.

It is a super-2 number, since 2×284188892979692 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28418889297979) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6700985689 + ... + 6700989929.

Almost surely, 228418889297969 is an apocalyptic number.

28418889297969 is the 5330937-th square number.

28418889297969 is the 2665469-th centered octagonal number.

It is an amenable number.

28418889297969 is a deficient number, since it is larger than the sum of its proper divisors (12738526116250).

28418889297969 is an frugal number, since it uses more digits than its factorization.

28418889297969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9326 (or 4663 counting only the distinct ones).

The product of its digits is 18059231232, while the sum is 90.

The spelling of 28418889297969 in words is "twenty-eight trillion, four hundred eighteen billion, eight hundred eighty-nine million, two hundred ninety-seven thousand, nine hundred sixty-nine".

Divisors: 1 3 9 419 1257 3771 4241 12723 38169 175561 526683 1580049 1776979 5330937 15992811 17986081 53958243 161874729 744554201 2233662603 6700987809 7536167939 22608503817 67825511451 3157654366441 9472963099323 28418889297969