Search a number
-
+
354220571073654 = 2323110318341336031
BaseRepresentation
bin101000010001010010110011…
…1010011111001110001110110
31201110012011012122012001110100
41100202211213103321301312
5332412022212143324104
63253210403415134530
7134416406651340105
oct12042454723716166
91643164178161410
10354220571073654
11a295811195049a
123388a3a0674446
1312285b19a287cc
14636851d52003c
152ae4153871139
hex14229674f9c76

354220571073654 has 96 divisors (see below), whose sum is σ = 799972854939648. Its totient is φ = 113148828072000.

The previous prime is 354220571073613. The next prime is 354220571073659. The reversal of 354220571073654 is 456370175022453.

354220571073654 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 2 + 0 + 571 + 0 + 7 + 3 + 65 + 4 = 666.

It is a super-3 number, since 3×3542205710736543 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354220571073654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354220571073659) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1053962619 + ... + 1054298649.

It is an arithmetic number, because the mean of its divisors is an integer number (8333050572288).

Almost surely, 2354220571073654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354220571073654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399986427469824).

354220571073654 is an abundant number, since it is smaller than the sum of its proper divisors (445752283865994).

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

354220571073654 is a wasteful number, since it uses less digits than its factorization.

354220571073654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354514 (or 354511 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 354220571073654 in words is "three hundred fifty-four trillion, two hundred twenty billion, five hundred seventy-one million, seventy-three thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 18 31 62 93 103 186 206 279 309 558 618 927 1854 3193 6386 9579 18341 19158 28737 36682 55023 57474 110046 165069 330138 336031 568571 672062 1008093 1137142 1705713 1889123 2016186 3024279 3411426 3778246 5117139 5667369 6048558 10234278 10416961 11334738 17002107 20833922 31250883 34004214 34611193 58562813 62501766 69222386 93752649 103833579 117125626 175688439 187505298 207667158 311500737 351376878 527065317 623001474 1054130634 1072946983 2145893966 3218840949 6163144571 6437681898 9656522847 12326289142 18489433713 19313045694 36978867426 55468301139 110936602278 191057481701 382114963402 573172445103 634803890813 1146344890206 1269607781626 1719517335309 1904411672439 3439034670618 3808823344878 5713235017317 11426470034634 19678920615203 39357841230406 59036761845609 118073523691218 177110285536827 354220571073654