Search a number
-
+
29281209216 = 273731351397
BaseRepresentation
bin11011010001010010…
…111100101110000000
32210120122202112210020
4123101102330232000
5434431442143331
621241313533440
72054421112620
oct332122745600
983518675706
1029281209216
111146652a966
125812274280
1329b84a6acc
1415babbc880
15b65993c96
hex6d14bcb80

29281209216 has 128 divisors (see below), whose sum is σ = 91757045760. Its totient is φ = 8096163840.

The previous prime is 29281209163. The next prime is 29281209253. The reversal of 29281209216 is 61290218292.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92371 + ... + 259026.

It is an arithmetic number, because the mean of its divisors is an integer number (716851920).

Almost surely, 229281209216 is an apocalyptic number.

It is an amenable number.

29281209216 is an abundant number, since it is smaller than the sum of its proper divisors (62475836544).

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

29281209216 is a wasteful number, since it uses less digits than its factorization.

29281209216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351452 (or 351440 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 29281209216 in words is "twenty-nine billion, two hundred eighty-one million, two hundred nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 10416 11904 13888 20832 27776 41664 83328 351397 702794 1054191 1405588 2108382 2459779 2811176 4216764 4919558 5622352 7379337 8433528 9839116 10893307 11244704 14758674 16867056 19678232 21786614 22489408 29517348 32679921 33734112 39356464 43573228 44978816 59034696 65359842 67468224 76253149 78712928 87146456 118069392 130719684 134936448 152506298 157425856 174292912 228759447 236138784 261439368 305012596 314851712 348585824 457518894 472277568 522878736 610025192 697171648 915037788 944555136 1045757472 1220050384 1394343296 1830075576 2091514944 2440100768 3660151152 4183029888 4880201536 7320302304 9760403072 14640604608 29281209216