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2012638992 = 2437131924251
BaseRepresentation
bin111011111110110…
…0110111100010000
312012021010122122220
41313331212330100
513110213421432
6531413501040
7100606102110
oct16775467420
95167118586
102012638992
1194309a511
12482041780
13260c81160
14151429040
15bba5c72c
hex77f66f10

2012638992 has 160 divisors (see below), whose sum is σ = 6736235520. Its totient is φ = 502848000.

The previous prime is 2012638987. The next prime is 2012639003. The reversal of 2012638992 is 2998362102.

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

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 31 ways as a sum of consecutive naturals, for example, 70867 + ... + 95117.

It is an arithmetic number, because the mean of its divisors is an integer number (42101472).

Almost surely, 22012638992 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 2012638992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368117760).

2012638992 is an abundant number, since it is smaller than the sum of its proper divisors (4723596528).

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

2012638992 is a wasteful number, since it uses less digits than its factorization.

2012638992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24301 (or 24295 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 2012638992 is about 44862.4452298356. The cubic root of 2012638992 is about 1262.5695007584.

The spelling of 2012638992 in words is "two billion, twelve million, six hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 728 741 798 912 988 1064 1092 1456 1482 1596 1729 1976 2128 2184 2964 3192 3458 3952 4368 5187 5928 6384 6916 10374 11856 13832 20748 24251 27664 41496 48502 72753 82992 97004 145506 169757 194008 291012 315263 339514 388016 460769 509271 582024 630526 679028 921538 945789 1018542 1164048 1261052 1358056 1382307 1843076 1891578 2037084 2206841 2522104 2716112 2764614 3225383 3686152 3783156 4074168 4413682 5044208 5529228 5989997 6450766 6620523 7372304 7566312 8148336 8827364 9676149 11058456 11979994 12901532 13241046 15132624 17654728 17969991 19352298 22116912 23959988 25803064 26482092 35309456 35939982 38704596 41929979 47919976 51606128 52964184 71879964 77409192 83859958 95839952 105928368 125789937 143759928 154818384 167719916 251579874 287519856 335439832 503159748 670879664 1006319496 2012638992