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164568708045 = 345758048927
BaseRepresentation
bin1001100101000100001…
…1110011001111001101
3120201210002001120020000
42121101003303033031
510144014042124140
6203333554314513
714614110636510
oct2312103631715
9521702046200
10164568708045
116387a822135
1227a89888a39
131269894bb71
147d725c6d77
154432aeda30
hex26510f33cd

164568708045 has 40 divisors (see below), whose sum is σ = 337148173824. Its totient is φ = 75231408096.

The previous prime is 164568708013. The next prime is 164568708091. The reversal of 164568708045 is 540807865461.

164568708045 is a `hidden beast` number, since 1 + 6 + 4 + 568 + 70 + 8 + 0 + 4 + 5 = 666.

164568708045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164568708045 - 25 = 164568708013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164568707982 and 164568708000.

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 39 ways as a sum of consecutive naturals, for example, 29021629 + ... + 29027298.

Almost surely, 2164568708045 is an apocalyptic number.

164568708045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164568708045 is an abundant number, since it is smaller than the sum of its proper divisors (172579465779).

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

164568708045 is an equidigital number, since it uses as much as digits as its factorization.

164568708045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58048951 (or 58048942 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 164568708045 in words is "one hundred sixty-four billion, five hundred sixty-eight million, seven hundred eight thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 58048927 174146781 290244635 406342489 522440343 870733905 1219027467 1567321029 2031712445 2612201715 3657082401 4701963087 6095137335 7836605145 10971247203 18285412005 23509815435 32913741609 54856236015 164568708045