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164052780264 = 233219119921623
BaseRepresentation
bin1001100011001001001…
…1101100010011101000
3120200110010020201100200
42120302103230103220
510141440002432024
6203210444232200
714565244424052
oct2306223542350
9520403221320
10164052780264
1163635576a3a
1227964b3b660
1312615aab059
147d23c868d2
15440268b2c9
hex26324ec4e8

164052780264 has 48 divisors (see below), whose sum is σ = 467694333600. Its totient is φ = 51806140704.

The previous prime is 164052780259. The next prime is 164052780293. The reversal of 164052780264 is 462087250461.

164052780264 is a `hidden beast` number, since 1 + 6 + 40 + 527 + 80 + 2 + 6 + 4 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59959444 + ... + 59962179.

It is an arithmetic number, because the mean of its divisors is an integer number (9743631950).

Almost surely, 2164052780264 is an apocalyptic number.

It is an amenable number.

164052780264 is an abundant number, since it is smaller than the sum of its proper divisors (303641553336).

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

164052780264 is a wasteful number, since it uses less digits than its factorization.

164052780264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119921654 (or 119921647 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 164052780264 in words is "one hundred sixty-four billion, fifty-two million, seven hundred eighty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 119921623 239843246 359764869 479686492 719529738 959372984 1079294607 1439059476 2158589214 2278510837 2878118952 4317178428 4557021674 6835532511 8634356856 9114043348 13671065022 18228086696 20506597533 27342130044 41013195066 54684260088 82026390132 164052780264