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164128650 = 23527192433
BaseRepresentation
bin10011100100001…
…10011110001010
3102102211121011220
421302012132022
5314004104100
624141502510
74032033120
oct1162063612
9372747156
10164128650
1184712314
1246b71a36
1328007a5a
1417b25910
15e620aa0
hex9c8678a

164128650 has 144 divisors (see below), whose sum is σ = 492093504. Its totient is φ = 35458560.

The previous prime is 164128637. The next prime is 164128687. The reversal of 164128650 is 56821461.

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 71 ways as a sum of consecutive naturals, for example, 378834 + ... + 379266.

It is an arithmetic number, because the mean of its divisors is an integer number (3417316).

Almost surely, 2164128650 is an apocalyptic number.

164128650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164128650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246046752).

164128650 is an abundant number, since it is smaller than the sum of its proper divisors (327964854).

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

164128650 is a wasteful number, since it uses less digits than its factorization.

164128650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 164128650 is about 12811.2704288060. The cubic root of 164128650 is about 547.5134585211.

The spelling of 164128650 in words is "one hundred sixty-four million, one hundred twenty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 50 57 70 75 95 105 114 133 150 175 190 210 266 285 350 361 399 433 475 525 570 665 722 798 866 950 1050 1083 1299 1330 1425 1805 1995 2165 2166 2527 2598 2850 3031 3325 3610 3990 4330 5054 5415 6062 6495 6650 7581 8227 9025 9093 9975 10825 10830 12635 12990 15155 15162 16454 18050 18186 19950 21650 24681 25270 27075 30310 32475 37905 41135 45465 49362 54150 57589 63175 64950 75775 75810 82270 90930 115178 123405 126350 151550 156313 172767 189525 205675 227325 246810 287945 312626 345534 379050 411350 454650 468939 575890 617025 781565 863835 937878 1094191 1234050 1439725 1563130 1727670 2188382 2344695 2879450 3282573 3907825 4319175 4689390 5470955 6565146 7815650 8638350 10941910 11723475 16412865 23446950 27354775 32825730 54709550 82064325 164128650