Search a number
-
+
194044912176 = 243233141138289
BaseRepresentation
bin1011010010110111111…
…0100110001000110000
3200112212022201212202010
42310231332212020300
511134400444142201
6225050515522520
720006420352633
oct2645576461060
9615768655663
10194044912176
1175326326615
12317352b9440
13153b5649a7b
14956b243c1a
1550aa75dbd6
hex2d2dfa6230

194044912176 has 160 divisors (see below), whose sum is σ = 553124597760. Its totient is φ = 58412851200.

The previous prime is 194044912157. The next prime is 194044912181. The reversal of 194044912176 is 671219440491.

It is a happy number.

194044912176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1334040 + ... + 1472328.

It is an arithmetic number, because the mean of its divisors is an integer number (3457028736).

Almost surely, 2194044912176 is an apocalyptic number.

194044912176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194044912176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276562298880).

194044912176 is an abundant number, since it is smaller than the sum of its proper divisors (359079685584).

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

194044912176 is a wasteful number, since it uses less digits than its factorization.

194044912176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138395 (or 138389 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 194044912176 in words is "one hundred ninety-four billion, forty-four million, nine hundred twelve thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 41 46 48 62 69 82 92 93 123 124 138 164 184 186 246 248 276 328 368 372 492 496 552 656 713 744 943 984 1104 1271 1426 1488 1886 1968 2139 2542 2829 2852 3772 3813 4278 5084 5658 5704 7544 7626 8556 10168 11316 11408 15088 15252 17112 20336 22632 29233 30504 34224 45264 58466 61008 87699 116932 138289 175398 233864 276578 350796 414867 467728 553156 701592 829734 1106312 1403184 1659468 2212624 3180647 3318936 4286959 5669849 6361294 6637872 8573918 9541941 11339698 12722588 12860877 17009547 17147836 19083882 22679396 25445176 25721754 34019094 34295672 38167764 45358792 50890352 51443508 68038188 68591344 76335528 90717584 98600057 102887016 130406527 136076376 152671056 175765319 197200114 205774032 260813054 272152752 295800171 351530638 391219581 394400228 521626108 527295957 591600342 703061276 782439162 788800456 1043252216 1054591914 1183200684 1406122552 1564878324 1577600912 2086504432 2109183828 2366401368 2812245104 3129756648 4042602337 4218367656 4732802736 6259513296 8085204674 8436735312 12127807011 16170409348 24255614022 32340818696 48511228044 64681637392 97022456088 194044912176