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164343580141 = 1331407800447
BaseRepresentation
bin1001100100001110100…
…1000000010111101101
3120201012101102212210111
42121003221000113231
510143033424031031
6203255353140021
714605405245106
oct2310351002755
9521171385714
10164343580141
1163774737214
1227a263ba611
13126611073a0
147d507433ad
15441ce7e1b1
hex2643a405ed

164343580141 has 8 divisors (see below), whose sum is σ = 182694600704. Its totient is φ = 146808160560.

The previous prime is 164343580091. The next prime is 164343580153. The reversal of 164343580141 is 141085343461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164343580141 - 219 = 164343055853 is a prime.

It is a super-2 number, since 2×1643435801412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164343580094 and 164343580103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164343580441) 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, 203899821 + ... + 203900626.

It is an arithmetic number, because the mean of its divisors is an integer number (22836825088).

Almost surely, 2164343580141 is an apocalyptic number.

It is an amenable number.

164343580141 is a deficient number, since it is larger than the sum of its proper divisors (18351020563).

164343580141 is a wasteful number, since it uses less digits than its factorization.

164343580141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407800491.

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 164343580141 in words is "one hundred sixty-four billion, three hundred forty-three million, five hundred eighty thousand, one hundred forty-one".

Divisors: 1 13 31 403 407800447 5301405811 12641813857 164343580141