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496105962080344 = 237113137968547691
BaseRepresentation
bin111000011001101001010101…
…1101001000000100001011000
32102001120021012111020100102121
41300303102223221000201120
51010011200002243032334
64515043533242511024
7206332321135653430
oct16063225351004130
92361507174210377
10496105962080344
111340903a2158530
12477847aab05474
13183a878c657aa5
148a71929d192c0
153c54cc42c4db4
hex1c334aba40858

496105962080344 has 128 divisors (see below), whose sum is σ = 1200297505996800. Its totient is φ = 186559393104000.

The previous prime is 496105962080341. The next prime is 496105962080353. The reversal of 496105962080344 is 443080269501694.

It is a super-2 number, since 2×4961059620803442 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496105962080341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27036462 + ... + 41511229.

It is an arithmetic number, because the mean of its divisors is an integer number (9377324265600).

Almost surely, 2496105962080344 is an apocalyptic number.

496105962080344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

496105962080344 is an abundant number, since it is smaller than the sum of its proper divisors (704191543916456).

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

496105962080344 is a wasteful number, since it uses less digits than its factorization.

496105962080344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68548125 (or 68548121 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 61.

The spelling of 496105962080344 in words is "four hundred ninety-six trillion, one hundred five billion, nine hundred sixty-two million, eighty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 379 434 616 682 758 868 1364 1516 1736 2387 2653 2728 3032 4169 4774 5306 8338 9548 10612 11749 16676 19096 21224 23498 29183 33352 46996 58366 82243 93992 116732 129239 164486 233464 258478 328972 516956 657944 904673 1033912 1809346 3618692 7237384 68547691 137095382 274190764 479833837 548381528 754024601 959667674 1508049202 1919335348 2124978421 3016098404 3838670696 4249956842 5278172207 6032196808 8499913684 10556344414 14874848947 16999827368 21112688828 23374762631 25979574889 29749697894 42225377656 46749525262 51959149778 59499395788 93499050524 103918299556 118998791576 163623338417 181857024223 186998101048 207836599112 285775323779 327246676834 363714048446 571550647558 654493353668 727428096892 805366821559 1143101295116 1308986707336 1454856193784 1610733643118 2000427266453 2286202590232 3221467286236 4000854532906 5637567750913 6442934572472 8001709065812 8859035037149 11275135501826 16003418131624 17718070074298 22550271003652 35436140148596 45100542007304 62013245260043 70872280297192 124026490520086 248052981040172 496105962080344