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164432115232 = 2571166733813
BaseRepresentation
bin1001100100100011101…
…0101111011000100000
3120201102120000221002221
42121020322233120200
510143224110141412
6203312234520424
714610531626650
oct2311072573040
9521376027087
10164432115232
116380a707a10
1227a4bb96114
1312676565608
147d5c3cc360
154425b1bb07
hex2648eaf620

164432115232 has 48 divisors (see below), whose sum is σ = 403606107072. Its totient is φ = 64064459520.

The previous prime is 164432115203. The next prime is 164432115233. The reversal of 164432115232 is 232511234461.

It is a super-3 number, since 3×1644321152323 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164432115233) 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 7 ways as a sum of consecutive naturals, for example, 33364443 + ... + 33369370.

It is an arithmetic number, because the mean of its divisors is an integer number (8408460564).

Almost surely, 2164432115232 is an apocalyptic number.

It is an amenable number.

164432115232 is an abundant number, since it is smaller than the sum of its proper divisors (239173991840).

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

164432115232 is a wasteful number, since it uses less digits than its factorization.

164432115232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66733841 (or 66733833 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

Adding to 164432115232 its reverse (232511234461), we get a palindrome (396943349693).

The spelling of 164432115232 in words is "one hundred sixty-four billion, four hundred thirty-two million, one hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 66733813 133467626 266935252 467136691 533870504 734071943 934273382 1067741008 1468143886 1868546764 2135482016 2936287772 3737093528 5138503601 5872575544 7474187056 10277007202 11745151088 14948374112 20554014404 23490302176 41108028808 82216057616 164432115232