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6540825245728 = 2523107129764037
BaseRepresentation
bin101111100101110011110…
…0100001011100000100000
3212011022000100122121221211
41133023213210023200200
51324131102230330403
621524451424555504
71243362514152544
oct137134744134040
925138010577854
106540825245728
1120a1a48372254
128977a5182b94
13385a49511cb7
1418881303ba24
15b521dc6506d
hex5f2e790b820

6540825245728 has 96 divisors (see below), whose sum is σ = 13573379723904. Its totient is φ = 3096547356672.

The previous prime is 6540825245711. The next prime is 6540825245761. The reversal of 6540825245728 is 8275425280456.

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, 102109326 + ... + 102173362.

It is an arithmetic number, because the mean of its divisors is an integer number (141389372124).

Almost surely, 26540825245728 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 6540825245728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786689861952).

6540825245728 is an abundant number, since it is smaller than the sum of its proper divisors (7032554478176).

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

6540825245728 is a wasteful number, since it uses less digits than its factorization.

6540825245728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65474 (or 65466 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 58.

The spelling of 6540825245728 in words is "six trillion, five hundred forty billion, eight hundred twenty-five million, two hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 107 184 214 368 428 736 856 1297 1712 2461 2594 3424 4922 5188 9844 10376 19688 20752 29831 39376 41504 59662 64037 78752 119324 128074 138779 238648 256148 277558 477296 512296 555116 954592 1024592 1110232 1472851 2049184 2220464 2945702 3191917 4440928 5891404 6383834 6851959 11782808 12767668 13703918 23565616 25535336 27407836 47131232 51070672 54815672 83055989 102141344 109631344 157595057 166111978 219262688 315190114 332223956 630380228 664447912 1260760456 1328895824 1910287747 2521520912 2657791648 3820575494 5043041824 7641150988 8886990823 15282301976 17773981646 30564603952 35547963292 61129207904 71095926584 142191853168 204400788929 284383706336 408801577858 817603155716 1635206311432 3270412622864 6540825245728