Search a number
-
+
1245453335544 = 2331110175761703
BaseRepresentation
bin10010000111111010110…
…011011011101111111000
311102001201210011210111110
4102013322303123233320
5130401142023214134
62352053043200320
7155660331452205
oct22077263335770
94361653153443
101245453335544
11440214a36910
121814639760a0
13905a43c2b22
14443cd082cac
15225e53257e9
hex121facdbbf8

1245453335544 has 128 divisors (see below), whose sum is σ = 3434908654080. Its totient is φ = 373173696000.

The previous prime is 1245453335491. The next prime is 1245453335561. The reversal of 1245453335544 is 4455333545421.

It is a super-2 number, since 2×12454533355442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1245453335493 and 1245453335502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20153797 + ... + 20215499.

It is an arithmetic number, because the mean of its divisors is an integer number (26835223860).

Almost surely, 21245453335544 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 1245453335544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717454327040).

1245453335544 is an abundant number, since it is smaller than the sum of its proper divisors (2189455318536).

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

1245453335544 is a wasteful number, since it uses less digits than its factorization.

1245453335544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62581 (or 62577 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 48.

The spelling of 1245453335544 in words is "one trillion, two hundred forty-five billion, four hundred fifty-three million, three hundred thirty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 757 808 1111 1212 1514 2222 2271 2424 3028 3333 4444 4542 6056 6666 8327 8888 9084 13332 16654 18168 24981 26664 33308 49962 61703 66616 76457 99924 123406 152914 185109 199848 229371 246812 305828 370218 458742 493624 611656 678733 740436 841027 917484 1357466 1480872 1682054 1834968 2036199 2523081 2714932 3364108 4072398 5046162 5429864 6232003 6728216 8144796 10092324 12464006 16289592 18696009 20184648 24928012 37392018 46709171 49856024 68552033 74784036 93418342 137104066 140127513 149568072 186836684 205656099 274208132 280255026 373673368 411312198 513800881 548416264 560510052 822624396 1027601762 1121020104 1541402643 1645248792 2055203524 3082805286 4110407048 4717626271 6165610572 9435252542 12331221144 14152878813 18870505084 28305757626 37741010168 51893888981 56611515252 103787777962 113223030504 155681666943 207575555924 311363333886 415151111848 622726667772 1245453335544