Search a number
-
+
194085573780448 = 2572479398964781
BaseRepresentation
bin101100001000010100010001…
…101011100110001111100000
3221110012101210100020222001001
4230020110101223212033200
5200414344223341433243
61524441403125321344
755611135310036600
oct5410242153461740
9843171710228031
10194085573780448
11569292586647a9
1219927101b66254
13843b263a3b03c
1435cdb12d50c00
151768927abaa4d
hexb08511ae63e0

194085573780448 has 144 divisors (see below), whose sum is σ = 445537116662400. Its totient is φ = 82983789450240.

The previous prime is 194085573780443. The next prime is 194085573780529. The reversal of 194085573780448 is 844087375580491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194085573780443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2995993818 + ... + 2996058598.

It is an arithmetic number, because the mean of its divisors is an integer number (3094007754600).

Almost surely, 2194085573780448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194085573780448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222768558331200).

194085573780448 is an abundant number, since it is smaller than the sum of its proper divisors (251451542881952).

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

194085573780448 is a wasteful number, since it uses less digits than its factorization.

194085573780448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69273 (or 69258 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 73.

The spelling of 194085573780448 in words is "one hundred ninety-four trillion, eighty-five billion, five hundred seventy-three million, seven hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 479 784 958 1568 1916 3353 3832 3989 6706 7664 7978 13412 15328 15956 23471 26824 27923 31912 46942 53648 55846 63824 64781 93884 107296 111692 127648 129562 187768 195461 223384 259124 375536 390922 446768 453467 518248 751072 781844 893536 906934 1036496 1563688 1813868 1910731 2072992 3127376 3174269 3627736 3821462 6254752 6348538 7255472 7642924 12697076 13375117 14510944 15285848 25394152 26750234 30571696 31030099 50788304 53500468 61143392 62060198 93625819 101576608 107000936 124120396 187251638 214001872 217210693 248240792 258411409 374503276 428003744 434421386 496481584 516822818 749006552 868842772 992963168 1033645636 1498013104 1520474851 1737685544 1808879863 2067291272 2996026208 3040949702 3475371088 3617759726 4134582544 6081899404 6950742176 7235519452 8269165088 12163798808 12662159041 14471038904 24327597616 25324318082 28942077808 48655195232 50648636164 57884155616 101297272328 123779064911 202594544656 247558129822 405189089312 495116259644 866453454377 990232519288 1732906908754 1980465038576 3465813817508 3960930077152 6065174180639 6931627635016 12130348361278 13863255270032 24260696722556 27726510540064 48521393445112 97042786890224 194085573780448