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164218952355 = 35293476771607
BaseRepresentation
bin1001100011110000110…
…1100101101010100011
3120200212200221010121120
42120330031211222203
510142310022433410
6203235142023323
714602333030563
oct2307415455243
9520780833546
10164218952355
1163710354547
12279b0717b43
131264134cc33
147d3bd80da3
154412062570
hex263c365aa3

164218952355 has 64 divisors (see below), whose sum is σ = 273166525440. Its totient is φ = 84142682624.

The previous prime is 164218952351. The next prime is 164218952357. The reversal of 164218952355 is 553259812461.

It is a happy number.

164218952355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 164218952355 - 22 = 164218952351 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164218952298 and 164218952307.

It is not an unprimeable number, because it can be changed into a prime (164218952351) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 102188962 + ... + 102190568.

It is an arithmetic number, because the mean of its divisors is an integer number (4268226960).

Almost surely, 2164218952355 is an apocalyptic number.

164218952355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164218952355 is a deficient number, since it is larger than the sum of its proper divisors (108947573085).

164218952355 is a wasteful number, since it uses less digits than its factorization.

164218952355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668.

The product of its digits is 2592000, while the sum is 51.

The spelling of 164218952355 in words is "one hundred sixty-four billion, two hundred eighteen million, nine hundred fifty-two thousand, three hundred fifty-five".

Divisors: 1 3 5 15 29 87 145 347 435 677 1041 1607 1735 2031 3385 4821 5205 8035 10063 10155 19633 24105 30189 46603 50315 58899 98165 139809 150945 233015 234919 294495 557629 699045 704757 1087939 1174595 1672887 2788145 3263817 3523785 5439695 6812651 8364435 16171241 16319085 20437953 31550231 34063255 48513723 80856205 94650693 102189765 157751155 242568615 377514833 473253465 1132544499 1887574165 5662722495 10947930157 32843790471 54739650785 164218952355