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164973833433 = 342970231517
BaseRepresentation
bin1001100110100100110…
…1001110110011011001
3120202211022101001210000
42121221031032303121
510200331300132213
6203442105443213
714630130306213
oct2315115166331
9522738331700
10164973833433
1163a68478902
1227b814a0509
1312731866326
147db03235b3
154458475c73
hex266934ecd9

164973833433 has 20 divisors (see below), whose sum is σ = 254940410340. Its totient is φ = 106190052192.

The previous prime is 164973833419. The next prime is 164973833459. The reversal of 164973833433 is 334338379461.

164973833433 is a `hidden beast` number, since 1 + 64 + 9 + 73 + 83 + 3 + 433 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106221890889 + 58751942544 = 325917^2 + 242388^2 .

It is not a de Polignac number, because 164973833433 - 222 = 164969639129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164973833433.

It is not an unprimeable number, because it can be changed into a prime (164973833413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35113410 + ... + 35118107.

It is an arithmetic number, because the mean of its divisors is an integer number (12747020517).

Almost surely, 2164973833433 is an apocalyptic number.

It is an amenable number.

164973833433 is a deficient number, since it is larger than the sum of its proper divisors (89966576907).

164973833433 is an equidigital number, since it uses as much as digits as its factorization.

164973833433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70231558 (or 70231549 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 54.

The spelling of 164973833433 in words is "one hundred sixty-four billion, nine hundred seventy-three million, eight hundred thirty-three thousand, four hundred thirty-three".

Divisors: 1 3 9 27 29 81 87 261 783 2349 70231517 210694551 632083653 1896250959 2036713993 5688752877 6110141979 18330425937 54991277811 164973833433