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194513668398 = 232721776117047
BaseRepresentation
bin1011010100100111101…
…0110000100100101110
3200121001222210011101200
42311021322300210232
511141330444342043
6225205222550330
720024141621100
oct2651172604456
9617058704350
10194513668398
1175546993055
12318462983a6
131545b7b2a0a
1495b35c5570
1550d69a47d3
hex2d49eb092e

194513668398 has 144 divisors (see below), whose sum is σ = 519804908064. Its totient is φ = 52234398720.

The previous prime is 194513668373. The next prime is 194513668399. The reversal of 194513668398 is 893866315491.

194513668398 is a `hidden beast` number, since 1 + 9 + 451 + 36 + 68 + 3 + 98 = 666.

194513668398 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194513668399) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 11401911 + ... + 11418957.

It is an arithmetic number, because the mean of its divisors is an integer number (3609756306).

Almost surely, 2194513668398 is an apocalyptic number.

194513668398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 194513668398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259902454032).

194513668398 is an abundant number, since it is smaller than the sum of its proper divisors (325291239666).

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

194513668398 is a wasteful number, since it uses less digits than its factorization.

194513668398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17847 (or 17837 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 194513668398 in words is "one hundred ninety-four billion, five hundred thirteen million, six hundred sixty-eight thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 761 833 882 1071 1522 1666 2142 2283 2499 4566 4998 5327 6849 7497 10654 12937 13698 14994 15981 17047 25874 31962 34094 37289 38811 47943 51141 74578 77622 90559 95886 102282 111867 116433 119329 153423 181118 223734 232866 238658 271677 289799 306846 335601 357987 543354 579598 633913 671202 715974 815031 835303 869397 1073961 1267826 1630062 1670606 1738794 1901739 2028593 2147922 2505909 2608191 3803478 4057186 5011818 5216382 5705217 6085779 7517727 11410434 12171558 12972767 14200151 15035454 18257337 25945534 28400302 36514674 38918301 42600453 77836602 85200906 90809369 116754903 127801359 181618738 220537039 233509806 255602718 272428107 441074078 544856214 635665583 661611117 817284321 1271331166 1323222234 1543759273 1634568642 1906996749 1984833351 3087518546 3813993498 3969666702 4631277819 5720990247 9262555638 10806314911 11441980494 13893833457 21612629822 27787666914 32418944733 64837889466 97256834199 194513668398