Search a number
-
+
2091620588928 = 27313457916837
BaseRepresentation
bin11110011011111110010…
…011010101110110000000
321101221211122011000011120
4132123332103111312000
5233232114332321203
64240513252112240
7304054210442463
oct36337623256600
97357748130146
102091620588928
11737062326372
12299453605680
1312231504a8c0
1473340ac12da
153961b773b53
hex1e6fe4d5d80

2091620588928 has 128 divisors (see below), whose sum is σ = 5996340561120. Its totient is φ = 642166603776.

The previous prime is 2091620588891. The next prime is 2091620588951. The reversal of 2091620588928 is 8298850261902.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1822926 + ... + 2739762.

Almost surely, 22091620588928 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 2091620588928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998170280560).

2091620588928 is an abundant number, since it is smaller than the sum of its proper divisors (3904719972192).

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

2091620588928 is a wasteful number, since it uses less digits than its factorization.

2091620588928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917324 (or 917312 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 2091620588928 in words is "two trillion, ninety-one billion, six hundred twenty million, five hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 457 624 832 914 1248 1371 1664 1828 2496 2742 3656 4992 5484 5941 7312 10968 11882 14624 17823 21936 23764 29248 35646 43872 47528 58496 71292 87744 95056 142584 175488 190112 285168 380224 570336 760448 916837 1140672 1833674 2281344 2750511 3667348 5501022 7334696 11002044 11918881 14669392 22004088 23837762 29338784 35756643 44008176 47675524 58677568 71513286 88016352 95351048 117355136 143026572 176032704 190702096 286053144 352065408 381404192 418994509 572106288 762808384 837989018 1144212576 1256983527 1525616768 1675978036 2288425152 2513967054 3351956072 4576850304 5027934108 5446928617 6703912144 10055868216 10893857234 13407824288 16340785851 20111736432 21787714468 26815648576 32681571702 40223472864 43575428936 53631297152 65363143404 80446945728 87150857872 130726286808 160893891456 174301715744 261452573616 348603431488 522905147232 697206862976 1045810294464 2091620588928