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29086026048 = 2633142911779
BaseRepresentation
bin11011000101101010…
…011000100101000000
32210002001111012211000
4123011222120211000
5434032010313143
621210102252000
72046531066522
oct330552304500
983061435730
1029086026048
1111376337962
125778a27000
132986c18101
14159ccd1a12
15b5378bbd3
hex6c5a98940

29086026048 has 112 divisors (see below), whose sum is σ = 85574632000. Its totient is φ = 9687734784.

The previous prime is 29086026043. The next prime is 29086026061. The reversal of 29086026048 is 84062068092.

29086026048 is a `hidden beast` number, since 290 + 8 + 60 + 260 + 48 = 666.

It is a super-2 number, since 2×290860260482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29086025994 and 29086026012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29086026043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2463423 + ... + 2475201.

Almost surely, 229086026048 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 29086026048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42787316000).

29086026048 is an abundant number, since it is smaller than the sum of its proper divisors (56488605952).

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

29086026048 is a wasteful number, since it uses less digits than its factorization.

29086026048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13229 (or 13213 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 29086026048 in words is "twenty-nine billion, eighty-six million, twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1429 1728 2858 4287 5716 8574 11432 11779 12861 17148 22864 23558 25722 34296 35337 38583 45728 47116 51444 68592 70674 77166 91456 94232 102888 106011 137184 141348 154332 188464 205776 212022 274368 282696 308664 318033 376928 411552 424044 565392 617328 636066 753856 823104 848088 1130784 1234656 1272132 1696176 2261568 2469312 2544264 3392352 5088528 6784704 10177056 16832191 20354112 33664382 50496573 67328764 100993146 134657528 151489719 201986292 269315056 302979438 403972584 454469157 538630112 605958876 807945168 908938314 1077260224 1211917752 1615890336 1817876628 2423835504 3231780672 3635753256 4847671008 7271506512 9695342016 14543013024 29086026048