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164697822450 = 23452729112
BaseRepresentation
bin1001100101100011000…
…0010101010011110010
3120202010002000020220000
42121120300111103302
510144300120304300
6203354445530430
714620236251400
oct2313060252362
9522102006800
10164697822450
1163936699757
1227b04b73a16
13126b9617515
147d857d6470
15443e104c00
hex2658c154f2

164697822450 has 270 divisors, whose sum is σ = 532913733693. Its totient is φ = 37603893600.

The previous prime is 164697822403. The next prime is 164697822469. The reversal of 164697822450 is 54228796461.

164697822450 is a `hidden beast` number, since 1 + 64 + 69 + 78 + 2 + 2 + 450 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161403866001 + 3293956449 = 401751^2 + 57393^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=286965.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 180787495 + ... + 180788405.

Almost surely, 2164697822450 is an apocalyptic number.

164697822450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164697822450

164697822450 is an abundant number, since it is smaller than the sum of its proper divisors (368215911243).

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

164697822450 is an frugal number, since it uses more digits than its factorization.

164697822450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 164697822450 in words is "one hundred sixty-four billion, six hundred ninety-seven million, eight hundred twenty-two thousand, four hundred fifty".