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3115947816256 = 261147400123537
BaseRepresentation
bin101101010101111100111…
…101100111010101000000
3102000212210202112121212011
4231111330331213111000
5402022430120110011
610343240251342304
7441056043301522
oct55257475472500
912025722477764
103115947816256
11aa1514345210
12423a84751994
13197aa93544c2
14aab53dc3a12
15560bdab7621
hex2d57cf67540

3115947816256 has 112 divisors (see below), whose sum is σ = 6890850807552. Its totient is φ = 1385799680000.

The previous prime is 3115947816251. The next prime is 3115947816271. The reversal of 3115947816256 is 6526187495113.

It is a self number, because there is not a number n which added to its sum of digits gives 3115947816256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115947816251) 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, 132373320 + ... + 132396856.

Almost surely, 23115947816256 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 3115947816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445425403776).

3115947816256 is an abundant number, since it is smaller than the sum of its proper divisors (3774902991296).

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

3115947816256 is a wasteful number, since it uses less digits than its factorization.

3115947816256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27608 (or 27598 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 58.

The spelling of 3115947816256 in words is "three trillion, one hundred fifteen billion, nine hundred forty-seven million, eight hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 176 188 352 376 517 704 752 1034 1504 2068 3008 4001 4136 8002 8272 16004 16544 23537 32008 33088 44011 47074 64016 88022 94148 128032 176044 188047 188296 256064 258907 352088 376094 376592 517814 704176 752188 753184 1035628 1106239 1408352 1504376 1506368 2068517 2071256 2212478 2816704 3008752 4137034 4142512 4424956 6017504 8274068 8285024 8849912 12035008 12168629 16548136 16570048 17699824 24337258 33096272 35399648 48674516 66192544 70799296 94171537 97349032 132385088 188343074 194698064 376686148 389396128 753372296 778792256 1035886907 1506744592 2071773814 3013489184 4143547628 4426062239 6026978368 8287095256 8852124478 16574190512 17704248956 33148381024 35408497912 48686684629 66296762048 70816995824 97373369258 141633991648 194746738516 283267983296 389493477032 778986954064 1557973908128 3115947816256