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212816374497 = 3266893535097
BaseRepresentation
bin1100011000110011011…
…0000010101011100001
3202100022112112222010100
43012030312002223201
511441321442440442
6241433321253013
721242534223216
oct3061466025341
9670275488110
10212816374497
1182289328041
12352b3934169
13170b764aa1c
14a42c2cbb0d
15580870384c
hex318cd82ae1

212816374497 has 12 divisors (see below), whose sum is σ = 307447473060. Its totient is φ = 141856332288.

The previous prime is 212816374493. The next prime is 212816374501. The reversal of 212816374497 is 794473618212.

212816374497 is a `hidden beast` number, since 2 + 1 + 2 + 81 + 6 + 3 + 74 + 497 = 666.

It is an interprime number because it is at equal distance from previous prime (212816374493) and next prime (212816374501).

It can be written as a sum of positive squares in 2 ways, for example, as 115466758416 + 97349616081 = 339804^2 + 312009^2 .

It is not a de Polignac number, because 212816374497 - 22 = 212816374493 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212816374493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1707348 + ... + 1827749.

It is an arithmetic number, because the mean of its divisors is an integer number (25620622755).

Almost surely, 2212816374497 is an apocalyptic number.

It is an amenable number.

212816374497 is a deficient number, since it is larger than the sum of its proper divisors (94631098563).

212816374497 is a wasteful number, since it uses less digits than its factorization.

212816374497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541792 (or 3541789 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 212816374497 in words is "two hundred twelve billion, eight hundred sixteen million, three hundred seventy-four thousand, four hundred ninety-seven".

Divisors: 1 3 9 6689 20067 60201 3535097 10605291 31815873 23646263833 70938791499 212816374497