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810436371968 = 292997562703
BaseRepresentation
bin10111100101100011100…
…01011010011000000000
32212110212201000100220202
423302301301122120000
5101234233202400333
61420150452024332
7112360240333316
oct13626161323000
92773781010822
10810436371968
112927822274a3
121110996020a8
135b5681a17c2
142b32243a0b6
151613464a5e8
hexbcb1c5a600

810436371968 has 80 divisors (see below), whose sum is σ = 1692399804480. Its totient is φ = 387211001856.

The previous prime is 810436371949. The next prime is 810436371989. The reversal of 810436371968 is 869173634018.

It is a super-2 number, since 2×8104363719682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1158905 + ... + 1721607.

It is an arithmetic number, because the mean of its divisors is an integer number (21154997556).

Almost surely, 2810436371968 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 810436371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846199902240).

810436371968 is an abundant number, since it is smaller than the sum of its proper divisors (881963432512).

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

810436371968 is an equidigital number, since it uses as much as digits as its factorization.

810436371968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562847 (or 562831 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 810436371968 in words is "eight hundred ten billion, four hundred thirty-six million, three hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 97 116 128 194 232 256 388 464 512 776 928 1552 1856 2813 3104 3712 5626 6208 7424 11252 12416 14848 22504 24832 45008 49664 90016 180032 360064 562703 720128 1125406 1440256 2250812 4501624 9003248 16318387 18006496 32636774 36012992 54582191 65273548 72025984 109164382 130547096 144051968 218328764 261094192 288103936 436657528 522188384 873315056 1044376768 1582883539 1746630112 2088753536 3165767078 3493260224 4177507072 6331534156 6986520448 8355014144 12663068312 13973040896 25326136624 27946081792 50652273248 101304546496 202609092992 405218185984 810436371968