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29386403881728 = 283832671172597
BaseRepresentation
bin1101010111010000011100…
…01010100010001100000000
310212001022110000100022222220
412223220032022202030000
512322431323343203403
6142255532204531040
76122045324422335
oct653501612421400
9125038400308886
1029386403881728
1193aa781986683
123367347250a80
131352183a7325a
1473844952498c
1535e61b506953
hex1aba0e2a2300

29386403881728 has 144 divisors (see below), whose sum is σ = 79183079947776. Its totient is φ = 9673771069440.

The previous prime is 29386403881529. The next prime is 29386403881741. The reversal of 29386403881728 is 82718830468392.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170173926 + ... + 170346522.

Almost surely, 229386403881728 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 29386403881728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39591539973888).

29386403881728 is an abundant number, since it is smaller than the sum of its proper divisors (49796676066048).

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

29386403881728 is a wasteful number, since it uses less digits than its factorization.

29386403881728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175370 (or 175356 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 69.

The spelling of 29386403881728 in words is "twenty-nine trillion, three hundred eighty-six billion, four hundred three million, eight hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 664 768 996 1328 1992 2656 2671 3984 5312 5342 7968 8013 10624 10684 15936 16026 21248 21368 31872 32052 42736 63744 64104 85472 128208 170944 172597 221693 256416 341888 345194 443386 512832 517791 665079 683776 690388 886772 1025664 1035582 1330158 1380776 1773544 2051328 2071164 2660316 2761552 3547088 4142328 5320632 5523104 7094176 8284656 10641264 11046208 14188352 14325551 16569312 21282528 22092416 28376704 28651102 33138624 42565056 42976653 44184832 56753408 57302204 66277248 85130112 85953306 114604408 132554496 170260224 171906612 229208816 343813224 458417632 461006587 687626448 916835264 922013174 1375252896 1383019761 1833670528 1844026348 2750505792 2766039522 3667341056 3688052696 5501011584 5532079044 7376105392 11002023168 11064158088 14752210784 22128316176 29504421568 38263546721 44256632352 59008843136 76527093442 88513264704 114790640163 118017686272 153054186884 177026529408 229581280326 306108373768 354053058816 459162560652 612216747536 918325121304 1224433495072 1836650242608 2448866990144 3673300485216 4897733980288 7346600970432 9795467960576 14693201940864 29386403881728