Search a number
-
+
194289954336 = 25324331558009
BaseRepresentation
bin1011010011110010010…
…1010110111000100000
3200120111101211022101200
42310330211112320200
511140401212014321
6225131112001200
720015454235362
oct2647445267040
9616441738350
10194289954336
11754416833a5
12317a3390200
131542434492a
1495919ccd32
1550c2013d26
hex2d3c956e20

194289954336 has 72 divisors (see below), whose sum is σ = 553788422460. Its totient is φ = 64613707776.

The previous prime is 194289954329. The next prime is 194289954361. The reversal of 194289954336 is 633459982491.

194289954336 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 89 + 9 + 543 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154307552400 + 39982401936 = 392820^2 + 199956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654301 + ... + 903708.

Almost surely, 2194289954336 is an apocalyptic number.

194289954336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

194289954336 is an abundant number, since it is smaller than the sum of its proper divisors (359498468124).

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

194289954336 is a wasteful number, since it uses less digits than its factorization.

194289954336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558458 (or 1558447 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 194289954336 in words is "one hundred ninety-four billion, two hundred eighty-nine million, nine hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 433 866 1299 1732 2598 3464 3897 5196 6928 7794 10392 13856 15588 20784 31176 41568 62352 124704 1558009 3116018 4674027 6232036 9348054 12464072 14022081 18696108 24928144 28044162 37392216 49856288 56088324 74784432 112176648 149568864 224353296 448706592 674617897 1349235794 2023853691 2698471588 4047707382 5396943176 6071561073 8095414764 10793886352 12143122146 16190829528 21587772704 24286244292 32381659056 48572488584 64763318112 97144977168 194289954336