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6990130449 = 32292314
BaseRepresentation
bin1101000001010010…
…01110110100010001
3200001011011102022100
412200221032310101
5103303433133244
63113342431013
7335136062031
oct64051166421
920034142270
106990130449
112a67823515
121430b92469
1387525b883
144a450b8c1
152ada19b69
hex1a0a4ed11

6990130449 has 45 divisors (see below), whose sum is σ = 10805595515. Its totient is φ = 4354252560.

The previous prime is 6990130447. The next prime is 6990130463. The reversal of 6990130449 is 9440310996.

The square root of 6990130449 is 83607.

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

It can be written as a sum of positive squares in only one way, i.e., 3665454849 + 3324675600 = 60543^2 + 57660^2 .

It is not a de Polignac number, because 6990130449 - 21 = 6990130447 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6990130447) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 225488064 + ... + 225488094.

Almost surely, 26990130449 is an apocalyptic number.

6990130449 is the 83607-th square number.

6990130449 is the 41804-th centered octagonal number.

It is an amenable number.

6990130449 is a deficient number, since it is larger than the sum of its proper divisors (3815465066).

6990130449 is an frugal number, since it uses more digits than its factorization.

6990130449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The cubic root of 6990130449 is about 1912.0317231574.

The spelling of 6990130449 in words is "six billion, nine hundred ninety million, one hundred thirty thousand, four hundred forty-nine".

Divisors: 1 3 9 29 31 87 93 261 279 841 899 961 2523 2697 2883 7569 8091 8649 26071 27869 29791 78213 83607 89373 234639 250821 268119 808201 863939 923521 2424603 2591817 2770563 7273809 7775451 8311689 25054231 26782109 75162693 80346327 225488079 241038981 776681161 2330043483 6990130449