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164621816432 = 2419311531301
BaseRepresentation
bin1001100101010000111…
…0011001001001110000
3120201220202222202020022
42121110032121021300
510144121141111212
6203343132503012
714615324231453
oct2312416311160
9521822882208
10164621816432
11638a77a6267
1227aa361aa68
13126a6955048
147d7968d49a
1544375de772
hex2654399270

164621816432 has 80 divisors (see below), whose sum is σ = 337222895520. Its totient is φ = 77851238400.

The previous prime is 164621816423. The next prime is 164621816453. The reversal of 164621816432 is 234618126461.

It is a super-2 number, since 2×1646218164322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126534182 + ... + 126535482.

It is an arithmetic number, because the mean of its divisors is an integer number (4215286194).

Almost surely, 2164621816432 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 164621816432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168611447760).

164621816432 is an abundant number, since it is smaller than the sum of its proper divisors (172601079088).

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

164621816432 is a wasteful number, since it uses less digits than its factorization.

164621816432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2475 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The spelling of 164621816432 in words is "one hundred sixty-four billion, six hundred twenty-one million, eight hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1153 1301 1444 2306 2602 2888 4612 5204 5776 6859 9224 10408 13718 18448 20816 21907 24719 27436 43814 49438 54872 87628 98876 109744 175256 197752 350512 395504 416233 469661 832466 939322 1500053 1664932 1878644 3000106 3329864 3757288 6000212 6659728 7514576 7908427 8923559 12000424 15816854 17847118 24000848 28501007 31633708 35694236 57002014 63267416 71388472 114004028 126534832 142776944 228008056 456016112 541519133 1083038266 2166076532 4332153064 8664306128 10288863527 20577727054 41155454108 82310908216 164621816432