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164431052310 = 23573112517701
BaseRepresentation
bin1001100100100011011…
…0101011111000010110
3120201102111000221001110
42121020312223320112
510143223322133220
6203312200035450
714610516612030
oct2311066537026
9521374027043
10164431052310
116380a051368
1227a4b762b86
1312676282875
147d5c1d2c50
1544259abbe0
hex2648dabe16

164431052310 has 64 divisors (see below), whose sum is σ = 452461261824. Its totient is φ = 37463376000.

The previous prime is 164431052293. The next prime is 164431052339. The reversal of 164431052310 is 13250134461.

164431052310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1644310523103 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1193541 + ... + 1324160.

It is an arithmetic number, because the mean of its divisors is an integer number (7069707216).

Almost surely, 2164431052310 is an apocalyptic number.

164431052310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164431052310 is an abundant number, since it is smaller than the sum of its proper divisors (288030209514).

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

164431052310 is a wasteful number, since it uses less digits than its factorization.

164431052310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518029.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 164431052310 its reverse (13250134461), we get a palindrome (177681186771).

The spelling of 164431052310 in words is "one hundred sixty-four billion, four hundred thirty-one million, fifty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 311 622 933 1555 1866 2177 3110 4354 4665 6531 9330 10885 13062 21770 32655 65310 2517701 5035402 7553103 12588505 15106206 17623907 25177010 35247814 37765515 52871721 75531030 88119535 105743442 176239070 264358605 528717210 783005011 1566010022 2349015033 3915025055 4698030066 5481035077 7830050110 10962070154 11745075165 16443105231 23490150330 27405175385 32886210462 54810350770 82215526155 164431052310