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164690091264 = 283487440329
BaseRepresentation
bin1001100101100001001…
…0110101110100000000
3120202002112110110200210
42121120102311310000
510144241130410024
6203354012114120
714620113451446
oct2313022656400
9522075413623
10164690091264
1163932299146
1227b02465940
13126b7b3b55a
147d84782b96
15443d5c9129
hex26584b5d00

164690091264 has 72 divisors (see below), whose sum is σ = 439216845760. Its totient is φ = 54783848448.

The previous prime is 164690091253. The next prime is 164690091277. The reversal of 164690091264 is 462190096461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153852 + ... + 594180.

Almost surely, 2164690091264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164690091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219608422880).

164690091264 is an abundant number, since it is smaller than the sum of its proper divisors (274526754496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164690091264 is an equidigital number, since it uses as much as digits as its factorization.

164690091264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440835 (or 440821 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 164690091264 in words is "one hundred sixty-four billion, six hundred ninety million, ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 487 768 974 1461 1948 2922 3896 5844 7792 11688 15584 23376 31168 46752 62336 93504 124672 187008 374016 440329 880658 1320987 1761316 2641974 3522632 5283948 7045264 10567896 14090528 21135792 28181056 42271584 56362112 84543168 112724224 169086336 214440223 338172672 428880446 643320669 857760892 1286641338 1715521784 2573282676 3431043568 5146565352 6862087136 10293130704 13724174272 20586261408 27448348544 41172522816 54896697088 82345045632 164690091264