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613332044442 = 2331319270716987
BaseRepresentation
bin10001110110011010111…
…00000100101010011010
32011122010011110002022000
420323031130010222122
540022101000410232
61145432202141430
762211640234155
oct10731534045232
92148104402260
10613332044442
11217126a49947
129aa4b7b1876
1345ab5a696c0
1421984b64c9c
1510e4a50d27c
hex8ecd704a9a

613332044442 has 128 divisors (see below), whose sum is σ = 1545717734400. Its totient is φ = 178708483008.

The previous prime is 613332044407. The next prime is 613332044453. The reversal of 613332044442 is 244440233316.

613332044442 is a `hidden beast` number, since 6 + 1 + 3 + 3 + 3 + 204 + 4 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 613332044397 and 613332044406.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 36097473 + ... + 36114459.

It is an arithmetic number, because the mean of its divisors is an integer number (12075919800).

Almost surely, 2613332044442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613332044442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772858867200).

613332044442 is an abundant number, since it is smaller than the sum of its proper divisors (932385689958).

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

613332044442 is a wasteful number, since it uses less digits than its factorization.

613332044442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19737 (or 19731 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 613332044442 its reverse (244440233316), we get a palindrome (857772277758).

The spelling of 613332044442 in words is "six hundred thirteen billion, three hundred thirty-two million, forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 2707 4446 5414 6669 8121 13338 16242 16987 24363 33974 35191 48726 50961 51433 70382 73089 101922 102866 105573 146178 152883 154299 211146 220831 305766 308598 316719 322753 441662 458649 462897 633438 645506 662493 668629 917298 925794 950157 968259 1324986 1337258 1388691 1900314 1936518 1987479 2005887 2777382 2904777 3974958 4011774 4195789 5809554 5962437 6017661 8391578 8714331 11924874 12035322 12587367 17428662 18052983 25174734 36105966 37762101 45983809 75524202 91967618 113286303 137951427 226572606 275902854 413854281 597789517 827708562 873692371 1195579034 1241562843 1747384742 1793368551 2483125686 2621077113 3586737102 5242154226 5380105653 7863231339 10760211306 11358000823 15726462678 16140316959 22716001646 23589694017 32280633918 34074002469 47179388034 68148004938 102222007407 204444014814 306666022221 613332044442