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2029071616 = 281113431289
BaseRepresentation
bin111100011110001…
…0010110100000000
312020102001111222121
41320330102310000
513123420242431
6533202014024
7101165552455
oct17074226400
95212044877
102029071616
119513a35a0
12487647314
132644b58c0
141536a582c
15bd206611
hex78f12d00

2029071616 has 144 divisors (see below), whose sum is σ = 4872732480. Its totient is φ = 830914560.

The previous prime is 2029071599. The next prime is 2029071619. The reversal of 2029071616 is 6161709202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029071619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1573500 + ... + 1574788.

It is an arithmetic number, because the mean of its divisors is an integer number (33838420).

Almost surely, 22029071616 is an apocalyptic number.

2029071616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029071616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436366240).

2029071616 is an abundant number, since it is smaller than the sum of its proper divisors (2843660864).

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

2029071616 is a wasteful number, since it uses less digits than its factorization.

2029071616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 2029071616 is about 45045.2174597926. The cubic root of 2029071616 is about 1265.9963645849.

The spelling of 2029071616 in words is "two billion, twenty-nine million, seventy-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 43 44 52 64 86 88 104 128 143 172 176 208 256 286 344 352 416 473 559 572 688 704 832 946 1118 1144 1289 1376 1408 1664 1892 2236 2288 2578 2752 2816 3328 3784 4472 4576 5156 5504 6149 7568 8944 9152 10312 11008 12298 14179 15136 16757 17888 18304 20624 24596 28358 30272 33514 35776 36608 41248 49192 55427 56716 60544 67028 71552 82496 98384 110854 113432 121088 134056 143104 164992 184327 196768 221708 226864 268112 329984 368654 393536 443416 453728 536224 609697 720551 737308 787072 886832 907456 1072448 1219394 1441102 1474616 1574144 1773664 1814912 2144896 2438788 2882204 2949232 3547328 3629824 4289792 4877576 5764408 5898464 7094656 7926061 9755152 11528816 11796928 14189312 15852122 19510304 23057632 23593856 31704244 39020608 46115264 47187712 63408488 78041216 92230528 126816976 156082432 184461056 253633952 507267904 1014535808 2029071616