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4649466969 = 32721721912
BaseRepresentation
bin1000101010010000…
…10011110001011001
3110000000210101122100
410111020103301121
534010230420334
62045210114013
7223134550200
oct42510236131
913000711570
104649466969
111a76559394
12a9911b909
13591349bb4
143216d6237
151c32b4c99
hex115213c59

4649466969 has 81 divisors (see below), whose sum is σ = 8342630751. Its totient is φ = 2487461760.

The previous prime is 4649466949. The next prime is 4649466971. The reversal of 4649466969 is 9696649464.

The square root of 4649466969 is 68187.

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

4649466969 is a `hidden beast` number, since 46 + 49 + 466 + 96 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3619827225 + 1029639744 = 60165^2 + 32088^2 .

It is not a de Polignac number, because 4649466969 - 213 = 4649458777 is a prime.

It is a super-2 number, since 2×46494669692 = 43235086191644093922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4649466929) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24342664 + ... + 24342854.

Almost surely, 24649466969 is an apocalyptic number.

4649466969 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4649466969 is the 68187-th square number.

4649466969 is the 34094-th centered octagonal number.

It is an amenable number.

4649466969 is a deficient number, since it is larger than the sum of its proper divisors (3693163782).

4649466969 is a wasteful number, since it uses less digits than its factorization.

4649466969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The cubic root of 4649466969 is about 1669.0437554486.

The spelling of 4649466969 in words is "four billion, six hundred forty-nine million, four hundred sixty-six thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 191 289 357 441 573 833 867 1071 1337 1719 2023 2499 2601 3247 4011 6069 7497 9359 9741 12033 14161 18207 22729 28077 29223 36481 42483 55199 68187 84231 109443 127449 159103 165597 204561 255367 328329 386393 477309 496791 620177 766101 1159179 1431927 1787569 1860531 2298303 2704751 3477537 4341239 5362707 5581593 8114253 10543009 13023717 16088121 24342759 30388673 31629027 39071151 73801063 91166019 94887081 221403189 273498057 516607441 664209567 1549822323 4649466969