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3540930373696 = 2641257372
BaseRepresentation
bin110011100001101111111…
…001011010100001000000
3110112111202112012101222011
4303201233321122201000
5431003311133424241
611310403030422304
7513552361366132
oct63415771324100
913474675171864
103540930373696
11114577797a7a1
1249230a501994
131c8ba66cc9c1
14c354c0ad052
156219388a281
hex3386fe5a840

3540930373696 has 63 divisors (see below), whose sum is σ = 7203348148647. Its totient is φ = 1726982031360.

The previous prime is 3540930373691. The next prime is 3540930373723. The reversal of 3540930373696 is 6963730390453.

The square root of 3540930373696 is 1881736.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3201666062400 + 339264311296 = 1789320^2 + 582464^2 .

It is a super-2 number, since 2×35409303736962 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3540930373696.

It is not an unprimeable number, because it can be changed into a prime (3540930373691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 617206540 + ... + 617212276.

Almost surely, 23540930373696 is an apocalyptic number.

3540930373696 is the 1881736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3540930373696

3540930373696 is an abundant number, since it is smaller than the sum of its proper divisors (3662417774951).

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

3540930373696 is an frugal number, since it uses more digits than its factorization.

3540930373696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11568 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 58.

The spelling of 3540930373696 in words is "three trillion, five hundred forty billion, nine hundred thirty million, three hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1681 2624 3362 5737 6724 11474 13448 22948 26896 45896 53792 91792 107584 183584 235217 367168 470434 940868 1881736 3763472 7526944 9643897 15053888 19287794 32913169 38575588 65826338 77151176 131652676 154302352 263305352 308604704 526610704 617209408 1053221408 1349439929 2106442816 2698879858 5397759716 10795519432 21591038864 43182077728 55327037089 86364155456 110654074178 221308148356 442616296712 885232593424 1770465186848 3540930373696