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29080782696126 = 23767191389139091
BaseRepresentation
bin1101001110010111001011…
…01110001110111010111110
310210222002120202011111020110
412213023211232032322332
512302424420332234001
6141503305510130450
76061005622255530
oct647134556167276
9123862522144213
1029080782696126
1192a20aa774447
123318073350a26
13132c3c94b0225
14727735a21850
153566d05db3d6
hex1a72e5b8eebe

29080782696126 has 128 divisors (see below), whose sum is σ = 67990484090880. Its totient is φ = 8120942121600.

The previous prime is 29080782696109. The next prime is 29080782696127. The reversal of 29080782696126 is 62169628708092.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29080782696127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209007841 + ... + 209146931.

It is an arithmetic number, because the mean of its divisors is an integer number (531175656960).

Almost surely, 229080782696126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29080782696126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33995242045440).

29080782696126 is an abundant number, since it is smaller than the sum of its proper divisors (38909701394754).

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

29080782696126 is a wasteful number, since it uses less digits than its factorization.

29080782696126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139750.

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 29080782696126 in words is "twenty-nine trillion, eighty billion, seven hundred eighty-two million, six hundred ninety-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 67 134 191 201 382 389 402 469 573 778 938 1146 1167 1337 1407 2334 2674 2723 2814 4011 5446 8022 8169 12797 16338 25594 26063 38391 52126 74299 76782 78189 89579 139091 148598 156378 179158 182441 222897 268737 278182 364882 417273 445794 520093 537474 547323 834546 973637 1040186 1094646 1560279 1947274 2920911 3120558 4978033 5841822 9319097 9956066 14934099 18638194 26566381 27957291 29868198 34846231 53132762 54106399 55914582 65233679 69692462 79699143 104538693 108212798 130467358 159398286 162319197 185964667 195701037 209077386 324638394 371929334 378744793 391402074 557894001 757489586 1115788002 1136234379 1779947527 2272468758 3559895054 3625128733 5339842581 7250257466 10334322209 10679685162 10875386199 12459632689 20668644418 21750772398 24919265378 25375901131 31002966627 37378898067 50751802262 62005933254 72340255463 74757796134 76127703393 144680510926 152255406786 217020766389 434041532778 692399588003 1384799176006 2077198764009 4154397528018 4846797116021 9693594232042 14540391348063 29080782696126