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164146268 = 221113347827
BaseRepresentation
bin10011100100010…
…10110001011100
3102102212111100102
421302022301130
5314010140033
624142120232
74032135356
oct1162126134
9372774312
10164146268
1184724580
1246b80078
1328012a90
1417b2c0d6
15e625de8
hex9c8ac5c

164146268 has 48 divisors (see below), whose sum is σ = 338857344. Its totient is φ = 68591040.

The previous prime is 164146253. The next prime is 164146273. The reversal of 164146268 is 862641461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198071 + ... + 198897.

It is an arithmetic number, because the mean of its divisors is an integer number (7059528).

Almost surely, 2164146268 is an apocalyptic number.

It is an amenable number.

164146268 is an abundant number, since it is smaller than the sum of its proper divisors (174711076).

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

164146268 is a wasteful number, since it uses less digits than its factorization.

164146268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1200 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 164146268 is about 12811.9580080486. The cubic root of 164146268 is about 547.5330483307.

The spelling of 164146268 in words is "one hundred sixty-four million, one hundred forty-six thousand, two hundred sixty-eight".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 347 572 694 827 1388 1654 3308 3817 4511 7634 9022 9097 10751 15268 18044 18194 21502 36388 43004 49621 99242 118261 198484 236522 286969 473044 573938 1147876 3156659 3730597 6313318 7461194 12626636 14922388 41036567 82073134 164146268