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214769295297 = 3246575124169
BaseRepresentation
bin1100100000000100111…
…1110101111111000001
3202112100122022121211100
43020001033311333001
512004321414422142
6242355203205013
721342116613654
oct3100117657701
9675318277740
10214769295297
11830a0739377
1235759976769
131733912026b
14a57580d89b
1558bedb6b4c
hex32013f5fc1

214769295297 has 12 divisors (see below), whose sum is σ = 310288990180. Its totient is φ = 143148757248.

The previous prime is 214769295289. The next prime is 214769295311. The reversal of 214769295297 is 792592967412.

214769295297 is a `hidden beast` number, since 2 + 1 + 47 + 69 + 2 + 9 + 529 + 7 = 666.

214769295297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 96432607296 + 118336688001 = 310536^2 + 344001^2 .

It is not a de Polignac number, because 214769295297 - 23 = 214769295289 is a prime.

It is a super-2 number, since 2×2147692952972 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214769295217) 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 11 ways as a sum of consecutive naturals, for example, 2520172 + ... + 2603997.

Almost surely, 2214769295297 is an apocalyptic number.

It is an amenable number.

214769295297 is a deficient number, since it is larger than the sum of its proper divisors (95519694883).

214769295297 is a wasteful number, since it uses less digits than its factorization.

214769295297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128832 (or 5128829 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 214769295297 in words is "two hundred fourteen billion, seven hundred sixty-nine million, two hundred ninety-five thousand, two hundred ninety-seven".

Divisors: 1 3 9 4657 13971 41913 5124169 15372507 46117521 23863255033 71589765099 214769295297