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29289299739424 = 2517432415195467
BaseRepresentation
bin1101010100011011100100…
…10011101000001100100000
310211201000210122202210200221
412222031302103220030200
512314333441213130144
6142143152450052424
76112040103012544
oct652156223501440
9124630718683627
1029289299739424
1193725821502aa
12335056727a114
131345c7a1b3c9a
14733876d1ba24
1535bd3663dd84
hex1aa3724e8320

29289299739424 has 96 divisors (see below), whose sum is σ = 62734403261376. Its totient is φ = 13406796103680.

The previous prime is 29289299739391. The next prime is 29289299739461. The reversal of 29289299739424 is 42493799298292.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3039739 + ... + 8235205.

It is an arithmetic number, because the mean of its divisors is an integer number (653483367306).

Almost surely, 229289299739424 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 29289299739424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31367201630688).

29289299739424 is an abundant number, since it is smaller than the sum of its proper divisors (33445103521952).

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

29289299739424 is a wasteful number, since it uses less digits than its factorization.

29289299739424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195778 (or 5195770 counting only the distinct ones).

The product of its digits is 2539579392, while the sum is 79.

The spelling of 29289299739424 in words is "twenty-nine trillion, two hundred eighty-nine billion, two hundred ninety-nine million, seven hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 172 241 272 344 482 544 688 731 964 1376 1462 1928 2924 3856 4097 5848 7712 8194 10363 11696 16388 20726 23392 32776 41452 65552 82904 131104 165808 176171 331616 352342 704684 1409368 2818736 5195467 5637472 10390934 20781868 41563736 83127472 88322939 166254944 176645878 223405081 353291756 446810162 706583512 893620324 1252107547 1413167024 1787240648 2504215094 2826334048 3574481296 3797886377 5008430188 7148962592 7595772754 10016860376 15191545508 20033720752 21285828299 30383091016 40067441504 42571656598 53840624521 60766182032 85143313196 107681249042 121532364064 170286626392 215362498084 340573252784 430724996168 681146505568 861449992336 915290616857 1722899984672 1830581233714 3661162467428 7322324934856 14644649869712 29289299739424