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6994144161 = 326124572
BaseRepresentation
bin1101000001110001…
…00010101110100001
3200001102201100002100
412200320202232201
5103311000103121
63114004441013
7335215146564
oct64070425641
920042640070
106994144161
112a6a015034
1214323a9169
13876035754
144a4c744db
152ae05e026
hex1a0e22ba1

6994144161 has 27 divisors (see below), whose sum is σ = 10293508953. Its totient is φ = 4576288320.

The previous prime is 6994144133. The next prime is 6994144189. The reversal of 6994144161 is 1614414996.

The square root of 6994144161 is 83631.

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

6994144161 is a `hidden beast` number, since 69 + 94 + 1 + 441 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (6994144133) and next prime (6994144189).

It can be written as a sum of positive squares in 4 ways, for example, as 262926225 + 6731217936 = 16215^2 + 82044^2 .

It is not a de Polignac number, because 6994144161 - 215 = 6994111393 is a prime.

It is a super-3 number, since 3×69941441613 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6994144361) 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, 15304245 + ... + 15304701.

Almost surely, 26994144161 is an apocalyptic number.

6994144161 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

6994144161 is the 83631-st square number.

6994144161 is the 41816-th centered octagonal number.

It is an amenable number.

6994144161 is a deficient number, since it is larger than the sum of its proper divisors (3299364792).

6994144161 is an frugal number, since it uses more digits than its factorization.

6994144161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 521 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The cubic root of 6994144161 is about 1912.3976141011.

The spelling of 6994144161 in words is "six billion, nine hundred ninety-four million, one hundred forty-four thousand, one hundred sixty-one".

Divisors: 1 3 9 61 183 457 549 1371 3721 4113 11163 27877 33489 83631 208849 250893 626547 1700497 1879641 5101491 12739789 15304473 38219367 114658101 777127129 2331381387 6994144161