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29062131026096 = 247312535094601
BaseRepresentation
bin1101001101110100011011…
…11111110000100010110000
310210220022102212202110222202
412212322031333300202300
512302123221020313341
6141450543024122332
76056445461553020
oct646721577604260
9123808385673882
1029062131026096
1192951a9352713
123314528a663a8
13132a71626279c
1472688683ba80
15355e8ce0a79b
hex1a6e8dff08b0

29062131026096 has 120 divisors (see below), whose sum is σ = 67749321614112. Its totient is φ = 11825993088000.

The previous prime is 29062131026059. The next prime is 29062131026099. The reversal of 29062131026096 is 69062013126092.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29062131026096.

It is not an unprimeable number, because it can be changed into a prime (29062131026099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3157196 + ... + 8251796.

Almost surely, 229062131026096 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 29062131026096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33874660807056).

29062131026096 is an abundant number, since it is smaller than the sum of its proper divisors (38687190588016).

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

29062131026096 is a wasteful number, since it uses less digits than its factorization.

29062131026096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094731 (or 5094694 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The spelling of 29062131026096 in words is "twenty-nine trillion, sixty-two billion, one hundred thirty-one million, twenty-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 53 56 62 106 112 124 212 217 248 371 424 434 496 742 848 868 961 1484 1643 1736 1922 2968 3286 3472 3844 5936 6572 6727 7688 11501 13144 13454 15376 23002 26288 26908 46004 50933 53816 92008 101866 107632 184016 203732 356531 407464 713062 814928 1426124 2852248 5094601 5704496 10189202 20378404 35662207 40756808 71324414 81513616 142648828 157932631 270013853 285297656 315865262 540027706 570595312 631730524 1080055412 1105528417 1263461048 1890096971 2160110824 2211056834 2526922096 3780193942 4320221648 4422113668 4895911561 7560387884 8370429443 8844227336 9791823122 15120775768 16740858886 17688454672 19583646244 30241551536 33481717772 34271380927 39167292488 58593006101 66963435544 68542761854 78334584976 117186012202 133926871088 137085523708 234372024404 259483312733 274171047416 468744048808 518966625466 548342094832 937488097616 1037933250932 1816383189131 2075866501864 3632766378262 4151733003728 7265532756524 14531065513048 29062131026096