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164264843169 = 327231015911159
BaseRepresentation
bin1001100011111011110…
…0101001011110100001
3120200222220021121222100
42120332330221132201
510142403244440134
6203243501401013
714603431062210
oct2307674513641
9520886247870
10164264843169
1163734248a39
1227a03b69169
131264a9c9b6b
147d440c9077
1544160c9999
hex263ef297a1

164264843169 has 48 divisors (see below), whose sum is σ = 283010457600. Its totient is φ = 89767627488.

The previous prime is 164264843143. The next prime is 164264843177. The reversal of 164264843169 is 961348462461.

164264843169 is a `hidden beast` number, since 1 + 64 + 264 + 8 + 4 + 316 + 9 = 666.

It is not a de Polignac number, because 164264843169 - 212 = 164264839073 is a prime.

It is a super-2 number, since 2×1642648431692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164264843269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14714812 + ... + 14725970.

It is an arithmetic number, because the mean of its divisors is an integer number (5896051200).

Almost surely, 2164264843169 is an apocalyptic number.

It is an amenable number.

164264843169 is a deficient number, since it is larger than the sum of its proper divisors (118745614431).

164264843169 is a wasteful number, since it uses less digits than its factorization.

164264843169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21354 (or 21351 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 164264843169 in words is "one hundred sixty-four billion, two hundred sixty-four million, eight hundred forty-three thousand, one hundred sixty-nine".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 10159 11159 30477 33477 71113 78113 91431 100431 213339 233657 234339 256657 640017 700971 703017 769971 1635599 1796599 2102913 2309913 4906797 5389797 14720391 16169391 113364281 340092843 793549967 1020278529 2380649901 2607378463 7141949703 7822135389 18251649241 23466406167 54754947723 164264843169