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2040977405472 = 253231181782689
BaseRepresentation
bin11101101100110011101…
…110111011011000100000
321020010010020001201201020
4131230303232323120200
5231414410203433342
64201340113005440
7300312215463345
oct35546356733040
97203106051636
102040977405472
117176345a0045
1228b67b253880
1311a603c72765
1470ad8ba67cc
15381556d10ec
hex1db33bbb620

2040977405472 has 96 divisors (see below), whose sum is σ = 5595244179840. Its totient is φ = 650194575360.

The previous prime is 2040977405431. The next prime is 2040977405473. The reversal of 2040977405472 is 2745047790402.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2040977405473) by changing a digit.

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, 2216304 + ... + 2998992.

It is an arithmetic number, because the mean of its divisors is an integer number (58283793540).

Almost surely, 22040977405472 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 2040977405472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797622089920).

2040977405472 is an abundant number, since it is smaller than the sum of its proper divisors (3554266774368).

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

2040977405472 is a wasteful number, since it uses less digits than its factorization.

2040977405472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783906 (or 783898 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 2040977405472 in words is "two trillion, forty billion, nine hundred seventy-seven million, four hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1181 2208 2362 3543 4724 7086 9448 14172 18896 27163 28344 37792 54326 56688 81489 108652 113376 162978 217304 325956 434608 651912 782689 869216 1303824 1565378 2348067 2607648 3130756 4696134 6261512 9392268 12523024 18001847 18784536 25046048 36003694 37569072 54005541 72007388 75138144 108011082 144014776 216022164 288029552 432044328 576059104 864088656 924355709 1728177312 1848711418 2773067127 3697422836 5546134254 7394845672 11092268508 14789691344 21260181307 22184537016 29579382688 42520362614 44369074032 63780543921 85040725228 88738148064 127561087842 170081450456 255122175684 340162900912 510244351368 680325801824 1020488702736 2040977405472