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164446724421 = 33719227320147
BaseRepresentation
bin1001100100100111001…
…0011110000101000101
3120201110120112011011000
42121021302132011011
510143241330140141
6203313520003513
714611100044230
oct2311162360505
9521416464130
10164446724421
1163817986021
1227a54a60599
13126795ac0c5
147d60312417
1544270555b6
hex2649c9e145

164446724421 has 64 divisors (see below), whose sum is σ = 293225932800. Its totient is φ = 88980208128.

The previous prime is 164446724413. The next prime is 164446724437. The reversal of 164446724421 is 124427644461.

164446724421 is a `hidden beast` number, since 164 + 4 + 4 + 67 + 2 + 4 + 421 = 666.

It is not a de Polignac number, because 164446724421 - 23 = 164446724413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164446724021) 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 63 ways as a sum of consecutive naturals, for example, 8152270 + ... + 8172416.

It is an arithmetic number, because the mean of its divisors is an integer number (4581655200).

Almost surely, 2164446724421 is an apocalyptic number.

It is an amenable number.

164446724421 is a deficient number, since it is larger than the sum of its proper divisors (128779208379).

164446724421 is a wasteful number, since it uses less digits than its factorization.

164446724421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22455 (or 22449 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 164446724421 in words is "one hundred sixty-four billion, four hundred forty-six million, seven hundred twenty-four thousand, four hundred twenty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 2273 3591 6819 15911 20147 20457 43187 47733 60441 61371 129561 141029 143199 181323 302309 382793 388683 423087 429597 543969 906927 1148379 1166049 1269261 2679551 2720781 3445137 3807783 8038653 8162343 10335411 24115959 45794131 72347877 137382393 320558917 412147179 870088489 961676751 1236441537 2610265467 2885030253 6090619423 7830796401 8655090759 18271858269 23492389203 54815574807 164446724421