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164053303884 = 22335699412837
BaseRepresentation
bin1001100011001001010…
…1101100001001001100
3120200110011020022122000
42120302111230021030
510141440121211014
6203210503352300
714565252034461
oct2306225541114
9520404208560
10164053303884
11636358a4388
1227965152690
1312615c324a2
147d23d81668
154402741509
hex263256c24c

164053303884 has 96 divisors (see below), whose sum is σ = 426674001600. Its totient is φ = 54511096320.

The previous prime is 164053303867. The next prime is 164053303901. The reversal of 164053303884 is 488303350461.

164053303884 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 533 + 0 + 38 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (164053303867) and next prime (164053303901).

It is a super-3 number, since 3×1640533038843 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57824914 + ... + 57827750.

It is an arithmetic number, because the mean of its divisors is an integer number (4444520850).

Almost surely, 2164053303884 is an apocalyptic number.

It is an amenable number.

164053303884 is an abundant number, since it is smaller than the sum of its proper divisors (262620697716).

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

164053303884 is a wasteful number, since it uses less digits than its factorization.

164053303884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 164053303884 in words is "one hundred sixty-four billion, fifty-three million, three hundred three thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 569 941 1138 1707 1882 2276 2823 2837 3414 3764 5121 5646 5674 6828 8469 8511 10242 11292 11348 15363 16938 17022 20484 25407 25533 30726 33876 34044 50814 51066 61452 76599 101628 102132 153198 306396 535429 1070858 1606287 1614253 2141716 2669617 3212574 3228506 4818861 4842759 5339234 6425148 6457012 8008851 9637722 9685518 10678468 14456583 14528277 16017702 19275444 19371036 24026553 28913166 29056554 32035404 43584831 48053106 57826332 58113108 72079659 87169662 96106212 144159318 174339324 288318636 1519012073 3038024146 4557036219 6076048292 9114072438 13671108657 18228144876 27342217314 41013325971 54684434628 82026651942 164053303884