Search a number
-
+
2012974848 = 28331811609
BaseRepresentation
bin111011111111011…
…1000111100000000
312012021202201101000
41313332320330000
513110310143343
6531425012000
7100612001223
oct16776707400
95167681330
102012974848
119432a9885
12482184000
1326106aca1
141514b55ba
15bbac6ed3
hex77fb8f00

2012974848 has 144 divisors (see below), whose sum is σ = 5989328800. Its totient is φ = 666869760.

The previous prime is 2012974829. The next prime is 2012974853. The reversal of 2012974848 is 8484792102.

It is a tau number, because it is divible by the number of its divisors (144).

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, 1250268 + ... + 1251876.

Almost surely, 22012974848 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 2012974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994664400).

2012974848 is an abundant number, since it is smaller than the sum of its proper divisors (3976353952).

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

2012974848 is a wasteful number, since it uses less digits than its factorization.

2012974848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2012974848 is about 44866.1882490590. The cubic root of 2012974848 is about 1262.6397266259.

The spelling of 2012974848 in words is "two billion, twelve million, nine hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 181 192 216 256 288 362 384 432 543 576 724 768 864 1086 1152 1448 1609 1629 1728 2172 2304 2896 3218 3258 3456 4344 4827 4887 5792 6436 6516 6912 8688 9654 9774 11584 12872 13032 14481 17376 19308 19548 23168 25744 26064 28962 34752 38616 39096 43443 46336 51488 52128 57924 69504 77232 78192 86886 102976 104256 115848 139008 154464 156384 173772 205952 208512 231696 291229 308928 312768 347544 411904 417024 463392 582458 617856 625536 695088 873687 926784 1164916 1235712 1251072 1390176 1747374 1853568 2329832 2621061 2780352 3494748 3707136 4659664 5242122 5560704 6989496 7863183 9319328 10484244 11121408 13978992 15726366 18638656 20968488 27957984 31452732 37277312 41936976 55915968 62905464 74554624 83873952 111831936 125810928 167747904 223663872 251621856 335495808 503243712 670991616 1006487424 2012974848